I wonder if a good modern analogy for Semmelweis would be if we did a study on crystal healing or Reiki, and the crystal healing/Reiki was found to vastly outperform placebo pills. (Actually something like this sort of did happen with parapsychology. The effect sizes were pretty small I believe, though.)
Obviously in hindsight, other docs still should've listened to Semmelweis. What I'm trying to get at here is that sussing out the truth can actually be a pretty tricky thing. Even if the docs had somewhat good reason to accuse Semmelweis of spreading medical misinfo, it was still a catastrophic mistake in retrospect.