Same fallacy. Omnipotence + foreknowledge + your assumptions on how that works = predestination and no free-will.
No not at all my assumptions on how that works but the actual teaching of the Bible. Ephesians 1:1112 says:
In him we have obtained an inheritance, having been predestined according to the purpose of him who works all things according to the counsel of his will, so that we who were the first to hope in Christ might be to the praise of his glory. (ESV)
This statement of Paul's teaches that everything that happens is as a result of God willing it to happen according to what He has decided Himself, and that those who are saved have been predestined by God to be saved, which therefore means that human free will plays no part in salvation. It also follows that in damnation free will plays no part either because Paul says that God works all things according to His will. So theres no unbiblical assumption involved in affirming that God predestines the course of the world and everyones destiny, and that free will plays no part, because thats the teaching of Scripture. Other Scripture verses also teach the same like Isaiah 46:8-10:
Remember this and stand firm, recall it to mind, you transgressors, remember the former things of old; for I am God, and there is no other; I am God, and there is none like me, declaring the end from the beginning and from ancient times things not yet done, saying, My counsel shall stand, and I will accomplish all my purpose, (ESV)
One can see from these verses that God has predestined everything that happens because God knows whats going to happen from the beginning to the end of the world because He has taken counsel with Himself and decided upon what He wants to achieve and now sets about accomplishing it in the world. Therefore all history is a record of what He has determined beforehand to bring into actuality. So theres no free will in either salvation or damnation because everything that happens does so because God has willed it to happen. This is also what Luther affirmed in TBOTW:
In Isaiah he saith, My counsel shall stand, and My will shall be done. (Isa. xlvi. 10.) And what schoolboy does not understand the meaning of these expressions, Counsel, will, shall be done, shall stand? But why should these things be abstruse to us Christians, so that it should be considered irreligious, curious, and vain, to discuss and know them, when heathen poets, and the very commonalty, have them in their mouths in the most frequent use? How often does Virgil alone make mention of Fate? All things stand fixed by law immutable. Again, Fixed is the day of every man. Again, If the Fates summon you. And again, If thou shalt break the binding chain of Fate. All this poet aims at, is to show, that in the destruction of Troy, and in raising the Roman empire, Fate did more than all the devoted efforts of men. In a word, he makes even their immortal gods subject to Fate. To this, even Jupiter and Juno must, of necessity, yield. Hence they made the three Parcae immutable, implacable, and irrevocable in decree.
Those men of wisdom knew that which the event itself, with experience, proves; that no mans own counsels ever succeeded but that the event happened to all contrary to what they thought. Virgils Hector says, Could Troy have stood by human arm, it should have stood by mine. Hence that common saying was on every ones tongue, Gods will be done. Again, If God will, we will do it. Again, Such was the will of God. Such was the will of those above. Such was your will, says Virgil. Whence we may see, that the knowledge of predestination and of the prescience of God, was no less left in the world than the notion of the divinity itself. And those who wished to appear wise, went in their disputations so far, that, their hearts being darkened, they became fools, (Rom. i. 21-22,) and denied, or pretended not to know, those things which their poets, and the commonalty, and even their own consciences, held to be universally known, most certain, and most true.(Section XI, Cole)
Pagan fate of course isn't the same as Biblical predestination, but the same principle applies namely that a person's life unfolds in a way that shows that he/she isn't in control, and that actual life events overturn human planning.