We can also flip it around. Why should we think of QM in terms of the Copenhagen when it makes to testable predictions.
If the Born rule were found to be violated, it would invalidate Copenhagen but not MWI, which IMO means Copenhagen is more falsifiable.
All quantum mechanical interpretations depend upon the Born rule. A violation of the Born rule would rule them all out, except perhaps Bohmian mechanics which allows the possibility of non-equilibrium states, but we have no idea if those can be created.
Having a more coherent metaphor for the evolution of quantum systems might help with physical insight, though. If e.g. the universe isn't differentiable across spacetime, we need a better understanding of GR. Many worlds insists it is differentiable (and local), so thinking that way could help integrate the two.
It isn't an important thing, but pi/tau is an unrealistically silly thing to compare it to.
You can still believe it if you like, but its slightly less useful than trying to convince everyone to replace pi with tau..