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I doubt there's one that's exactly what you're looking for, and I don't think we need one, either. Broken Base refers to when the fanbase is split on a certain topic, but I think when the fanbase is more or less united is the rule rather than the exception.
That said, you should direct questions about the existence of certain tropes to Lost And Found.
Wrestler, bodybuilder. No hopes, no dreams.Yeah, I should have realised that.
Is there an inverse trope to Broken Base? That is, a work by a formerly-divisive artist that pretty much eliminates the divisiveness? (For example, Kid Rock has been very divisive until Born Free, which has been his best received album.)