No, free will is really quite beside the point. You can believe the choice is real, whatever you put in that, but the choice will still be based on what you are, and you can't change it, other than based on either 1. what you already are, in which case it isn't really a change, or 2. Something outside of you, input.
Nondeterminism changes nothing for the argument, in fact I mentioned it explicitly already.
You didn't mention it explicitly or otherwise. Why lie? That's such a weird thing to do. I can read your comment and catch you in the lie so easily.
Free will is the entire point. You are saying "the choice will [be] based on what you are, and you can't change it". That is precisely an argument that our choices are determined, not free.
>other than based on either 1. what you already are, in which case it isn't really a change, or 2. Something outside of you, input.
You have just ignored what I said. You cannot say that you haven't changed your character because the change was brought about by your own choice, for the reason I already gave: you have free will, so your choices are not determined, so the results can vary.
You cannot say that A and B are equivalent states because B is reachable from A, when C which is clearly distinct from B is also reachable from A, and the choice between B and C is nondeterministic (free).
To make it more concrete, you have free will. You choose to challenge yourself or not by doing something difficult. That choice is free. It is chosen from among constrained options but it is still a choice. We make constrained choices all the time. They're still choices.
Some people can't afford to buy musical instruments. Of those that can, some choose to buy one and some do not. Of those who do buy one, some choose to practice and some do not. You cannot expect anyone to believe that that choice is free but also that the person that chooses to learn an instrument and practice and develop is identical in character to the same person if they had exercised their choice differently and instead sat on the couch and watched TV.
People make choices. Free choices. Those choices result in the development of their personalities, the development of skills, etc. Those choices are not predetermined by their existing character. There is no external input necessary for your character to change and yet clearly, logically, their character also was not already there. The potential for it may have been there, latently, but so what? Everyone has the potential to have good character. Everyone could be a better person than he is.