information conservation
If we can "see and manipulate" quantum fluctuations information is being (potentially randomly) injected into our universe continuously. So why do we assume it's being conserved? More precisely why do we assume it's being conserved in our view of reality?
Seems more likely we simply can't see enough of reality to understand what's happening yet.
I also question why losing information would affect determinism. If the loss process is deterministic it becomes a simpler but still deterministic ensemble, if random then we never had determinism.