I suppose you are suggesting that research mathematicians are either over-qualified mathematically and/or under-qualified in ability to teach, but it seems pretty clear that universities prefer to hire domain experts whose reputations and long publication lists attract students and raise the perceived academic standards of the school.
Your "scenario" of much math research soon being done by AI (supervised and paid for by who, one might wonder), while universities hire people chosen for their teaching skills not academic reputation, seems a bit of a stretch ...
> You're asking why they don't market GPT as "AlphaFold for Mathematicians". They don't because it's not.
No, I am not asking that, nor asking anything for that matter.
I was pointing out that giving a free research tool to mathematicians would likely be better received, and receive better press, than doing something that most top-tier mathematicians are opposed to.
My hypothetical "AlphaMath" certainly could just be free GPT-N access for academics/researchers (as they are also doing to some extent), or it could indeed be a custom system that OpenAI built as a gift to the math community.
As far as the AI companies acting in slimy fashion goes, the most slimy behavior of all is to strongly believe you are doing something that will kill people and cause massive societal disruption ... and still keep doing it.