The question is pretty much self-explanatory, I was just curious if there is any possible way to show that Modal collapse isn't caused by determinism.
Determinism requires nothing. Determinism only assumes.
In a deterministic system everything is necessarily as it is. There are no alternative possibilities or uncertainties of any kind.
However, that doesn't mean that there are only necessarily true statements. In a deterministic system there are no statements at all, no entities capable of making any statements.