Math is by its nature falsifiable. Much of what is considered “science” today is not. This is often the stuff that’s used as a political weapon via smug “trust the science” justifications for the application of power.
And being anti-science is used by the political right to allow them to make claims without evidence. Once they have reduced trust in science enough by amplifying what might be a small percentage of problems they'll be able to justify any action and if the research shows otherwise they'll just call them "elite liberal east coast ivy league etc..." to dismiss it.
Mathematical proofs can be wrong. People do make mistakes. But yes I think it’s less likely there is a mistake in a (reasonably) self-contained line of logical reasoning than a statistical study which has so many potential sources of both nefarious and accidental issues.
I am out of the loop, but surely this would be politicized math education? Which is absolutely different from mathematics research and not related to reproducibility.
