On the other hand, I think it's simplistic to equate picking options from a mental list as "free will". I think the point you are replying to is valid because if there's free will, it's not just "choosing from a list". The list itself (the options you present yourself) has way more impact on your behavior than what you choose, even. So the matter of the question is, do you have free will in forming a list.
This seems like a separate question. Having the power to choose doesn't mean you have every conceivable option in mind, nor that you have the power to exercise every choice, nor even that you like any of the choices.
There's a few things you can choose to do at any time. You can almost always choose to for example close your eyes and keep them closed. Why don't you do it? You have the free will to stop blinking but your brain doesn't pose you this question so you don't even consider it. But now it's considering it. I'm just trying to reduce your argument to the absurd, and probably doing a bad job, but I don't think you can separate the list of options that appear to you from the question of free will, to me it's paramount to what happens after, so if what happens after is what defines free will or not, the list has to be part of it.
Did the first particles that ejected from the big bang have free will?