Sure it does. He who doesn't believe what Jesus said, "He who believes and is baptized shall be saved", is condemned.
But really, do you see how childish that is?
I mean imagine your dad telling you, "He who believes and cleans his room will get ice cream, he who doesn't believe won't get ice cream."
And then you don't clean your room and demand ice cream later.
"But dad! I believed!"
"Really, what is it that you believed if you haven't cleaned your room?"
The point would be that believing is more important than cleaning the room... that believing is what actually matters, and that you could clean the room and you still wouldn't get ice cream unless you believed.
He is saying "Believe and be baptized... but hey, it's not about about the baptism, its about the faith because without the faith you don't have anything."
In other words, to accomplish remission of sins, we're baptized. The order is unambiguous. In your example, the order is clear as well. There has to be a post to receive the thanks. The post comes first and I should be thanked for it.
There are many passages which describe how to be saved but never mention baptism. There are no passages which say you can be saved by baptism alone.
[Rom 4:5, 9, 13 NASB] 5 But to the one who does not work, but believes in Him who justifies the ungodly, his faith is credited as righteousness, ... 9 Is this blessing then on the circumcised, or on the uncircumcised also? For we say, "FAITH WAS CREDITED TO ABRAHAM AS RIGHTEOUSNESS." ... 13 For the promise to Abraham or to his descendants that he would be heir of the world was not through the Law, but through the righteousness of faith.
[Phl 3:9 NASB] 9 and may be found in Him, not having a righteousness of my own derived from [the] Law, but that which is through faith in Christ, the righteousness which [comes] from God on the basis of faith,
[Eph 1:13-14 NASB] 13 In Him, you also, after listening to the message of truth, the gospel of your salvation--having also believed, you were sealed in Him with the Holy Spirit of promise, 14 who is given as a pledge of our inheritance, with a view to the redemption of [God's own] possession, to the praise of His glory.
[Rom 4:11 NASB] 11 and he received the sign of circumcision, a seal of the righteousness of the faith which he had while uncircumcised, so that he might be the father of all who believe without being circumcised, that righteousness might be credited to them,
Abraham is the "father of all who believe." The very purpose of faith is not some magical mystical power which confers righteousness. In fact, faith doesnt' confer righteousness at all. Faith qualifies us as descendants of Abraham. When we have the same faith in the gospel of Jesus Christ that Abraham had, we are considered his descendants. God promised Abraham that all of his descendants would inherit the righteousness he was given, so faith doesn't make us righteous... faith makes us adopted children, and all descendants are heirs of the promise from God.
[Gal 3:6-9, 16, 26, 29 NASB] 6 Even so Abraham BELIEVED GOD, AND IT WAS RECKONED TO HIM AS RIGHTEOUSNESS. 7 Therefore, be sure that it is those who are of faith who are sons of Abraham. 8 The Scripture, foreseeing that God would justify the Gentiles by faith, preached the gospel beforehand to Abraham, [saying,] "ALL THE NATIONS WILL BE BLESSED IN YOU." 9 So then those who are of faith are blessed with Abraham, the believer. ... 16 Now the promises were spoken to Abraham and to his seed. He does not say, "And to seeds," as [referring] to many, but [rather] to one, "And to your seed," that is, Christ. ... 26 For you are all sons of God through faith in Christ Jesus. ... 29 And if you belong to Christ, then you are Abraham's descendants, heirs according to promise.
[Rom 4:11-13, 16-17 NASB] 11 and he received the sign of circumcision, a seal of the righteousness of the faith which he had while uncircumcised, so that he might be the father of all who believe without being circumcised, that righteousness might be credited to them, 12 and the father of circumcision to those who not only are of the circumcision, but who also follow in the steps of the faith of our father Abraham which he had while uncircumcised. 13 For the promise to Abraham or to his descendants that he would be heir of the world was not through the Law, but through the righteousness of faith. 16 For this reason [it is] by faith, in order that [it may be] in accordance with grace, so that the promise will be guaranteed to all the descendants, not only to those who are of the Law, but also to those who are of the faith of Abraham, who is the father of us all, 17 (as it is written, "A FATHER OF MANY NATIONS HAVE I MADE YOU") in the presence of Him whom he believed, [even] God, who gives life to the dead and calls into being that which does not exist.
[Gen 15:5-6 KJV] 5 And he brought him forth abroad, and said, Look now toward heaven, and tell the stars, if thou be able to number them: and he said unto him, So shall thy seed be. 6 And he believed in the LORD; and he counted it to him for righteousness.
[Gen 17:4-7 KJV] 4 As for me, behold, my covenant [is] with thee, and thou shalt be a father of many nations. 5 Neither shall thy name any more be called Abram, but thy name shall be Abraham; for a father of many nations have I made thee. 6 And I will make thee exceeding fruitful, and I will make nations of thee, and kings shall come out of thee. 7 And I will establish my covenant between me and thee and thy seed after thee in their generations for an everlasting covenant, to be a God unto thee, and to thy seed after thee.
This is why the debate between Calvin and Arminius rages on for centuries.... because they both have the same fatal flaw in their understanding of how salvation works. Both falsely believe that faith generates righteousness directly. It does not. Having the same faith in the gospel of Jesus Christ that Abraham had makes us children of Abraham and children of Abraham all INHERIT the righteousness given to Abraham. That is why it is not by works. That is why righteousness comes before circumcision, works, or baptism. Faith qualifies us as heirs.
[Eph 1:13-14 NASB] 13 In Him, you also, after listening to the message of truth, the gospel of your salvation--having also believed, you were sealed in Him with the Holy Spirit of promise, 14 who is given as a pledge of our inheritance, with a view to the redemption of [God's own] possession, to the praise of His glory.
[Rom 8:15-17 NASB] 15 For you have not received a spirit of slavery leading to fear again, but you have received a spirit of adoption as sons by which we cry out, "Abba! Father!" 16 The Spirit Himself testifies with our spirit that we are children of God, 17 and if children, heirs also, heirs of God and fellow heirs with Christ, if indeed we suffer with [Him] so that we may also be glorified with [Him.]
Nowhere in all of Paul's vast and long descriptions of how righteousness is applied to a person does he mention baptism, because baptism is for the person who is already saved... for the person who has already been made righteous. It does not make us righteous. Abraham is, and shall always be, the only person ever made righteous directly for their faith. The rest of us inherit righteousness by qualifying for kinship, and thereby qualifying as heirs of righteousness.
Even Jesus himself reclaimed righteousness after giving it up through the covenant God made with Abraham. Jesus' righteousness was given to Abraham. This is the only way righteousness could be given -- in a 1:1 exchange. A life for a life. But God's promise to Abraham that all of his descendants would inherit that possession of righteousness was the thing that multiplied it to the rest of us.
[2Co 5:21 NASB] 21 He made Him who knew no sin [to be] sin on our behalf, so that we might become the righteousness of God in Him.
[Gal 3:13-14 NASB] 13 Christ redeemed us from the curse of the Law, having become a curse for us--for it is written, "CURSED IS EVERYONE WHO HANGS ON A TREE"-- 14 in order that in Christ Jesus the blessing of Abraham might come to the Gentiles, so that we would receive the promise of the Spirit through faith. 15 Brethren, I speak in terms of human relations: even though it is [only] a man's covenant, yet when it has been ratified, no one sets it aside or adds conditions to it. 16 Now the promises were spoken to Abraham and to his seed. He does not say, "And to seeds," as [referring] to many, but [rather] to one, "And to your seed," that is, Christ. 17 What I am saying is this: the Law, which came four hundred and thirty years later, does not invalidate a covenant previously ratified by God, so as to nullify the promise. 18 For if the inheritance is based on law, it is no longer based on a promise; but God has granted it to Abraham by means of a promise.
[Isa 53:6 NASB] 6 All of us like sheep have gone astray, Each of us has turned to his own way; But the LORD has caused the iniquity of us all To fall on Him.
[Heb 13:20 NASB] 20 Now the God of peace, who brought up from the dead the great Shepherd of the sheep through the blood of the eternal covenant, [even] Jesus our Lord,
At some literal point God has to see Christ as unrighteous and us as righteous in the great redemptive exchange. This is the lesson of the snake on the standard that Moses lifted up. The snake represents sin on the cross. God had to see Christ as emptied of righteousness and being punished for our sin. So how did he get it back? The same way we do -- his faith in the gospel qualified him for the eternal covenant God made with Abraham that all of his descendants would inherit the righteousness given to Abraham.
[Jhn 3:14-16 NASB] 14 "As Moses lifted up the serpent in the wilderness, even so must the Son of Man be lifted up; 15 so that whoever believes will in Him have eternal life. 16 "For God so loved the world, that He gave His only begotten Son, that whoever believes in Him shall not perish, but have eternal life. (nothing about baptism in this passage)
What an amazing confidence we can have in our salvation. Jesus has already demonstrated that the method works! He was already made righteous and resurrected through the Abrahamic covenant of faith.