The answer to both is "no." It is really obvious that the answer is no, because they lead to the same predictions. There is real work being done in quantum foundations (which is not the same thing as fundamental physics), but it doesn't involve arguing about MWI and Copenhagen. :-)
I’m not sure about what precisely you’re referring to. There is an entire school of mathematics that dismisses the law of excluded of middle and I’m not sure why that would not be “real work”.
Didn't you say you can't tell whether randomness is true or due to incomplete interpretation? If Copenhagen is incomplete, then it doesn't work, only its one part works - the Schrodinger equation.
It doesn't predict collapse if that's what you mean, because collapse doesn't happen, but it predicts that the result of observation is eigenvalue, and the prediction is consistent and matches observation.