That's a very particular definition of "free will": it's either everything follows a deterministic time evolution (so its future behavior is dependent only on w

That's a very particular definition of "free will": it's either everything follows a deterministic time evolution (so its future behavior is dependent only on what happened in its past light-cone) or not. It's not the "intuitive" idea of "free will" most people are used to, though that isn't a well-defined concept.