If the quantum randomness is fundamental, and reality is stochastic at heart, that makes it non-deterministic, but it doesn't make it any less mechanical. It's in the name, after all: Quantum mechanics. If there is any guiding light to the randomness, any pattern to how the random choices come out, then it's not really random, is it?
So, if you think that a deterministic reality is devoid of free will, then you must equally think that a Copenhagen-interpretation fundamentally stochastic reality is devoid of free will.