Many worlds is falsifiable, if you can show wave function collapse actually happens (not just decoherence). I believe that in the not so distant future we will get more and more proof that wave function collapse never happens. Quantum computing at scale to me is an indication that Everett was just right..
With many words, every postulate has been tested and very verified. What more can you ask from a theory?
Now objective collapse is a testable postulate but none expects that to pan out.
This can be done in any other interpretation? Any unitary evolution on an isolated system can be reversed. This is a mathematical statement.
> Many worlds is falsifiable, if you can show wave function collapse actually happens
So, what experiments do you think would falsify it? How can you show that collapse actually happened?
Showing collapse happened is really tricky because of decoherence. Similar to unmixing coffee and milk. But all systems we have observed so far do not show wave function collapse (granted these systems are generally small, but otherwise decoherence starts messing about).
These are just fundamentally different theories. Not just an interpretation, physically different outcomes.