Compatibilists who believe free will grounds basic desert
Loads of arguments about what the definition of free will is on here. But with plenty of compatibilists rejecting basic desert (retributive punishment, and deep desert, eg "they deserve.....") their position seems exactly the same as many hard incompatibilists, the only difference is literally semantics in these cases.
The divide is compatibilists who believe their definition of free will is enough to ground basic desert.
For those who do, what's your justification?
I'm not asking if people make choices although I'm sure this thread will end up as if I did.
I'm asking what bridges the gap from "the organism acted according to its nature" to "therefore the person deeply deserves blame/praise in the basic desert sense?"