As I said, we can create analogies at will; but it doesn't make a true analogue. Either one can boast in themselves; or; they cannot. In a free will understanding, boasting is not only a possibility, it becomes a fact of the matter; it is the root and foundation of all boasting. In deterministic understanding, it is impossible since nothing done or received is of one's own power to get, but must be freely given. This is not only reasonabley correct; it is the biblical precedent throughout the scripture: I cite the case of the very Assyrian and King of Babylon (the two greatest enemies of the houses of Israel; north and south) who shared this same understanding, and were punished for it:
Isaiah 10:12 Wherefore it shall come to pass, that when the Lord hath performed his whole work upon mount Zion and on Jerusalem, I will punish the fruit of the stout heart of the king of Assyria, and the glory of his high looks. 13 For he saith, By the strength of my hand I have done it, and by my wisdom; for I am prudent: 15 Shall the axe boast itself against him that heweth therewith? or shall the saw magnify itself against him that shaketh it? as if the rod should shake itself against them that lift it up, or as if the staff should lift up itself, as if it were no wood. 16 Therefore shall the Lord, the Lord of hosts, send among his fat ones leanness; and under his glory he shall kindle a burning like the burning of a fire.
Daniel 4:17 This matter is by the decree of the watchers, and the demand by the word of the holy ones: to the intent that the living may know that the most High ruleth in the kingdom of men, and giveth it to whomsoever he will.
30 The king spake, and said, Is not this great Babylon, that I have built for the house of the kingdom by the might of my power, and for the honour of my majesty?
31 While the word was in the king’s mouth, there fell a voice from heaven, saying, O king Nebuchadnezzar, to thee it is spoken; The kingdom is departed from thee.
32 And they shall drive thee from men, and thy dwelling shall be with the beasts of the field: they shall make thee to eat grass as oxen, and seven times shall pass over thee, until thou know that the most High ruleth in the kingdom of men, and giveth it to whomsoever he will.
34 And at the end of the days I Nebuchadnezzar lifted up mine eyes unto heaven, and mine understanding returned unto me, and I blessed the most High, and I praised and honoured him that liveth for ever, whose dominion is an everlasting dominion, and his kingdom is from generation to generation:
35 And all the inhabitants of the earth are reputed as nothing: and he doeth according to his will in the army of heaven, and among the inhabitants of the earth: and none can stay his hand, or say unto him, What doest thou?
37 Now I Nebuchadnezzar praise and extol and honour the King of heaven, all whose works are truth, and his ways judgment: and those that walk in pride he is able to abase.
Both of these great antagonists of the truth, thought the things they did and the things the obtained, were by the power they themselves had in themselves; and boasted because of this error in understanding. Both were punished until they learned that they were nothing and all things were being given by God, for the purpose of His will alone.
Now, this is evident throughout scripture, this determination and sovereignty of the will of God is plainly taught. But, can you cite precedent verses anywhere in the scripture that teach the idea like "God has provided the way, but you must use your own power and will to accomplish salvation" or "It is fully within your own self to finish the work began by God; He is no longer working, and now it is your own will you must rely upon" or "God has set salvation before all men; now, use your own free will to get that salvation for you, and those that do not, are respobisible for their free choice wherein with open eyes they have rejected what was before them"?
I'm talking about a sum of equality. Everyone in heaven and hell can credit God for providing the "lift" to salvation. All things are exactly equal to everyone: thus the one-and-only deciding factor in salvation is placed squarely into the hand of the "chooser": everyone's salvation is entirely in their own hands; the ball is in their proverbial court. The one-and-only difference in whether or not we are saved (in a free will scenario) is in our own power of free choice: thus our salvation/damnation is entirely due only to our own power and excellence of our own will. All things thus being equal, God is no longer a factor; He has set the stage for everyone, and retreated to being out of the picture. The spotlight of salvation is now shining soley on the "chooser" and the "chooser" is now the one entirely responsible, in and of himself, for his own salvation. Anyone who is "saved" can say with all truth "I got my salvation by my own hand"; if he cannot say this, then a person who is not saved cannot be said to have been condemned "by his own hand"
No, there are informed choice and uninformed choice. If a person is given an option of two doors, and plainly told "Behind the first door is a new car; behind the second door is a bomb that will detonate" who chooses the second door would be responsible for his fate, having chosen the bomb over the car. This is not the same as a person given the choice of two doors, without being informed as to what was behind both doors. If he opens the second door, he is not "choosing to perish" because his understanding is limited by lack of information.
No one "chooses" to reject salvation anymore than the man in the allegory "chooses to perish": the people who aren't Christian reject Christian theology which they are not persuaded is true. The same reason you and I reject, Islam; or, any Christian theology with which we do not agree. If the elitist churches are correct, and you and I end up in hell, will you be saying "I chose to be here because I rejected salvation"? Or, "If I would've known and understood, I would've believed differently and not ended up here"? I'm confident it would be the latter. How does your understanding of "free will" account for "choice" which lacks vital information?