If it doesn't fundamentally change quantum mechanics as a theory, is the picture likely to turn out fundamentally different from MWI? Roger Penrose, a vocal MWI critic, seems to wholeheartedly agree that QM implies MWI; it's just that he thinks that this means the theory is wrong. David Deutsch, I believe, has said that he's not certain that quantum mechanics is correct; but any modification of the theory, according to him, is unlikely to do away with the parallel universes.
QBism, too, seems to me to essentially accept the MWI picture as the underlying ontology, but then says that we should only care about the worlds that we actually observe (Sean Carroll has presented criticism similar to this, and mentioned that it sounds more like therapy to him), although it could be that I've misunderstood something.
If it doesn't fundamentally change quantum mechanics as a theory, is the picture likely to turn out fundamentally different from MWI?
CI/OR is a different picture to MWI, yet neither change QM as a number-crunching theory. You have hit on the fundamental problems of empiricism: the correct interpretation of a data is underdetermined by data, and interpretations can differ radically with small changes in data or no changes in data.