Apparently the proponents of MWI have no problem with that:
DeWitt (1970): "This universe is constantly splitting into a stupendous number of branches,
all resulting from measurement-like interactions between its myriad of
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components. Moreover, every quantum transition taking place on every
star, in every galaxy, in every corner of the universe is splitting our local
world on earth into myriads of copies of itself"
Actually, the Everett's own interpretation was different from DeWitt's: it's not the universe that splits at each decoherence event, but rather it is the states of the observer that split (consciousness split), while the universe always exists in form of a huge blobject WF with enormous number of quantum states. Yet, the Everett's interpretation still requires an additional axiom to the Schrodinger equation to explain the split of the consciousness/observer.
A good overview here:
But many physicist don't even bother with QM interpretations simply because they consider the QM incomplete due to its incompatibility with relativity. From this perspective the QM is a temporary theoretical framework to be later replaced with more appropriate framework. So, why bother with interpretations of a model that is known to be inaccurate and temporary and doomed to be replaced with a different model?