I think I'm fine with all of that. Except for one small thing. And that is why you would use the term 'free will' to describe it.
It would, if it were the correct model, only be freedom from determinism, as per your last line.
I'm not actually sure it even is that. It may just be freedom from predictability?
But, setting that aside temporarily, let's say for the sake of argument that your model is at least pretty useful nonetheless (and possibly correct, I'm not saying it isn't).
It's time for me to confess that on a general note, I don't quite 'get' the idea, or in fact if I'm totally honest I have trouble believing, that some people are really ok with or accepting of a version of human capacities (free will, agency, whatever) where they believe that everything they think and do happens automatically and without personal control.
Am I the only person who goes around during quite a lot of his waking life under the impression that everything I think and do does
not just happen automatically as a result of a mixture of determinism and randomness, and that 'I' (aka my self, he who 'I' call ruby sparks) exercise at least some conscious control? In fact I'd go further and admit, here in public, that the locus of this conscious control feels like it's just behind my eyes, at least much of the time.
In a nutshell, what sort of free will is it, in any meaningful sense, and what does it explain about what I've just described above, if it's automatic, uncontrolled and/or non-conscious?
I know you didn't bring up the last of those three, but others do claim that consciousness is not required for free will (and it seems to me it might not be required in your model. For example, the ice cream options could be presented to me subliminally or I might be a non-consciousness-and-non-self-experiencing, ice-cream-selecting computer program).
Am I the only person who experiences a mindfuck when confronted with that limited version of 'free will'?
I can forgive myself, and some others, for not really wanting to use the term.
ETA: It's here that I sometimes feel like citing those who define god as the universe and all its physical laws. At some point, word definitions cease to be particularly relevant, useful or accurate. Especially if, like god and free will they come pre-loaded, for almost all of us, with culturally (and possibly genetically) inherited or developmentally learned psychological baggage of one sort or another. Not the same baggage in each case, obviously. And my guess is that the human sensation of free will probably predates the invention of gods in any case.