[jostylr]

In pilot wave theory, one can deduce the standard quantum formalism. Operators, collapse, and all the rest just pop right out.

So no, there is no experiment that can tell the difference. It is possible that pilot wave theory has predictions that the standard formalism is silent on. However, something that is inspired by pilot wave theory can be easily co-opted by standard approaches, e.g., Bell's theorem.

[jostylr]

As an example, it is very easy to place pilot wave theory on manifolds as these are just differential equations. For the standard theory, it is not at all clear what the main operators ought to be such as momentum. Position, yes, but not other things.

Of course, once one has pilot wave theory on it, then whatever needs to be deduced can be and then given to the standard theory.