My understanding is that the Monty Hall problem was just a cute puzzle published in a pop-sci magazine that confused a few professors who perhaps ought not to have been confused by it. I don't think it says anything at all about the health of the mathematical community.
I will repeat what I wrote about this point a couple of weeks ago: According to vos Savant, in most of the cases where the correspondent actually had a correction to offer for her alleged error, they were assuming the intended interpretation of the puzzle.
Your understanding of the history of the problem is lacking and you've caused me to get downvoted as a result, thanks for that. The professors were misogynistic towards her as they could not believe a woman could solve this problem. She even addressed this.
Given the anecdotal correlation between math and autism, and the effects of autism on sociability, one might expect mathematics to have different toxicity.
I never went deep enough into mathematical academia to judge, let alone getting into other fields to allow for a comparison.
