The wavestate is entirely deterministic, and we don’t fully understand where the probabilistic measurement happens. The Copenhagen intrpretation makes it probabilistic but is not proven.
(even many worlds doesn’t explain why we ourselves only see one macroscopic section of the wavefunction)
I’m pretty sure this goes against the properties proven of entanglement (Bell test) and how far entanglement can propagate, but I don’t know enough about quantum mechanics to explain why this explanation is incompatible with entanglement.
However, I don’t currently see how this at all explains computing with superpositions; if it’s just statistics a superposition can never exist, so entanglement doesn’t exist; so quantum algorithms wouldn’t be possible, but we know they are.