Earlier quoted context omitted.
I think you mean expansion rather than inflation (inflation is something that happened very briefly at the beginning of the universe). In models with collapse, the collapse happens instantaneously, no matter what
As with any unsettled questions there are pros & cons to the various takes on quantum reality. Part of the appeal of MWI (intrication of observer into observed system as part of the measurement process) to me was always that the instantaneousness you mention here is a very "ordinary" kind of "fastness by synchronization". It's basically just a kind of causal wavefront hitting. There are plenty of "infinitely fast" sy…
That was already part of von Neumann’s model of measurement over 90 years ago.