Just to add a little fuel to the fire, in the Epistle of Jude, it quotes the apocryphal Books of Enoch.
Jude 1:14-15 (KJV) "
14And Enoch also, the seventh from Adam, prophesied of these, saying, Behold, the Lord cometh with ten thousands of his saints,
15To execute judgment upon all, and to convince all that are ungodly among them of all their ungodly deeds which they have ungodly committed, and of all their hard
speeches which ungodly sinners have spoken against him." So, we know they were reading them and Jude even thought at least Enoch was worthy of inclusion in his writings.
Did Jude quote from the Book of Enoch? Probably, but it could have also been quoted from an old, oral tradition, instead (the way that it is written in Jude could lead to either conclusion).
what the Jews believed about these books 2,400 years ago they still believe today (that they are important and worthy of study, but not part of the Canon
I have been told that the Torah, the first five books of the Bible, is their Canon. Even Psalms and the Prophets are not considered infallible by some number of Jews, I have been told. In any case, I would not go by what unbelievers who are Jews might say. considering how they have handled Jesus > there is no telling how they might be handling anything else.
We can only infer the importance they placed on these writings by the fact that they were considered important enough to be worth copying,
I, of course, did not get to know the Essenes. So, I would not know how really they understood God and His word so they could know which are and which are not Scriptures.
the Jews did not hold them to be canonical (though many of the Reformers continued to include some of them in their Bibles as important, non-canonical additions, just like we continue to do today in many of our Bibles, including Protestant Bibles).
Paul says "scriptures" are "profitable for doctrine, for reproof, for correction, for instruction in righteousness". This is in 2 Timothy 3:16. So, how are people doing with the Apocrypha, to use it for doctrine and reproof and correction and "instruction in righteousness"?
Of course, ones holding to the non-apocryphal Bible might not be getting much about doctrine and reproof and correction and instruction in righteousness. But whatever are the Scriptures is so profitable.
Any scripture can be used by God to bring us to grow in Jesus, to become of the character of God's love in us, and to relate as His family . . . in submission to Him having us do His own love meaning of His word.
certain Jewish sects studied them and considered them "scripture". There was no approved "canon" until at the earliest during the Hasmonean dynasty between 140-40BCE with many scholars arguing it wasn't fixed until the 2nd century CE. My only question is was Paul exhorting Timothy to study the apocryphal books.
It appears that some number of Jews were not correct, including in how they handled Jesus. So, what some number of them considered to be Scripture might be questionable.
My opinion is God's word confirms that Paul means the Torah, Psalms, and the Prophets.
After all, Jesus Himself says >
"Then He said to them, 'These are the words which I spoke to you while I was still with you, that all things must be fulfilled which were written in the Law of Moses and the Prophets and the Psalms concerning Me.'" (Luke 24:44)
And Philip said >
"We have found Him of whom Moses in the Law, and also the Prophets, wrote---Jesus of Nazareth, the son of Joseph." (in John 1:45)
As for the Apocrypha, I believe that if Paul was indeed suggesting that Timothy study it, he certainly didn't recommend basing church doctrine on it.
There would be a matter of how much Timothy should give attention to the Apocrypha . . . versus studying the Law of Moses and Psalms and the Prophets.
And our Apostle Paul says >
"Test all things; hold fast what is good." (1 Thessalonians 5:21)
So, each of us is commanded, I would say, to test what is good. And I would say the most reliable way to test any thing is to submit to God and obey where He guides our attention; therefore, make sure with God Himself, who knows at any moment what is good . . . His will for us to do with Him. And I find that any part of God's word can be used by God to help us find out how to love . . . in sharing with Him. Because every scripture comes from God's heart of love, every scripture has His love meaning.
So, not only do we need to know which writings are God's word, but also we need to get it the way God means it.
And, whatever really is God's word, He guarantees that His word >
"shall accomplish what I please,
And it shall prosper in the thing for which I sent it."
(in Isaiah 55:11)
So we need, then, to depend on God Himself to do His meaning of whatever is His word.
Here is what Paul has used God's word to do >
"Him we preach, warning every man and teaching every man in all wisdom, that we may present every man perfect in Christ Jesus. To this end I also labor, striving according to His working which works in me mightily." (Colossians 1:28-29)
So . . . the scriptures God desires for us to use are for ministering for people to be perfected in Jesus. And we do this, in sharing with God, by submitting to how He in us works us to so minister. This process includes prayer and example.
So . . . to answer to your question of if we will be left out or miss the boat, by not reading the Apocrypha . . . Jesus did not make this "required reading", did He . . . anywhere in His recorded sayings?? Neither did Paul. But we are told to test. However, I offer that testing includes testing how much attention should go to something; and I suspect there are ones who need to test how much attention needs to go to justifying their own groups, versus attending to what helps us to be "conformed to the image of His Son, that He might be the firstborn among many brethren." (Romans 8:29)
Ones can be so busy with comparing themselves with others and congratulating their own selves. But how are we becoming . . . in comparison with Jesus?