If free will was not real

[Gemini]

A man walks into an ice cream parlor.  He chooses between chocolate and vanilla ice cream.  He chooses chocolate.  Later, as he's eating the chocolate ice cream, he says to himself, "I could have had vanilla."  Is that a true statement under determinism?  No it is not, assuming the brain to be a deterministic thinking machine.  The phenomenology of free will is a lie.  He could not have chosen vanilla in that actual world, despite what might occur in possible worlds.  So are we talking about possible worlds when we refer to the experience of choice?  Or are we talking incorrectly about the actual world?

I think many people are talking incorrectly about the actual world, and this leads to a delusional belief about the extent to which they can control their circumstances. It would be interesting to see a study about this, though.

I don't see a problem with modifying one's concept of decision making to reference possible worlds, but this entails that what I mean by "free will" is different than what an incompatibilist means by it. Which isn't necessarily a problem. "Psyche" has been mostly redefined in light of modern psychology, so I don't see why we couldn't redefine "free will."