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MWI is an interpretation of quantum mechanics, ergo is applicable to all of the theories mentioned before. You can have MWI in classical, semi-classical, etc.
Meaning that it is a rebuttal, although how much good depends on how much credit you give to a theory that predicts different cosmological constants.
But MWI allows for different constants without predicting them, right? It would be a mistake to say that the case and evidence for MWI is evidence for a different-constants system, which itself has much less (almost no?) evidence for it, making this line of reasoning a very weak rebuttal?
Am I getting this right?