I'm sure most people would be against presenting dousing as a legitimate belief, but it's all on a sliding scale. How many people would balk at authoritatively declaring astrology nonsense? And soon you're on the mainstream religions, where the vast majority see nothing objectionable in making provably nonsensical claims about the nature of reality.

Fact checking works as long as there is no widespread societal investment in the outcome, would be my cynical take. I don't see a workable alternative to letting everyone spread whatever they like and rely on a resilient immune response in the form of education and critical thinking.

It's called education and publishing better and more trustworthy studies.