Does dualism make a difference?

Suppose there are nonphysical entities (whatever that means) that interact with the physical world (for example to control our bodies). Either those interactions follow some set of laws of nonphysics and are deterministic (or maybe stochastic), in which case free will has the same problems it has under materialism, or they are nondeterministic/random, in which case does that qualify as free will?

Dualism is a crock of, anyway. If there is any kind of interaction between the physical and the "nonphysical" world, then per definition this influence must be measurable in the physical world. But dualists want to eat the pie, and have it too: "It's nonphysical, that explains why you can't find any physical evidence! But it still influences you!".

Good point.