Yes, mathematicians will clearly need to rewrite the qualifying criteria for prizes to better align with the actual goals and value they were hoping to get from a solved problem. The field as a whole assumed good faith actors and collaboration, not expecting a few trillion dollar companies to walk in and start turning in piles of Lean no human understands to be able to claim "first".

This letter includes someone like Terrance Tao who publicly expressed a lot of optimism about AI for solving novel math like with the Erdos problems. It's not sour grapes but the first steps to define those new expectations for the future to reduce the perverse incentives.

And yet, predictably, people are accusing him of "gatekeeping" and ignoring the arguments he has made here and elsewhere about the benefits vs. harm in different ways of using AI.

It's a real example that's happened to me twice in the past year, so I'm not sure what to make of the idea that it's far away from how the real world works.

I'm also not sure I understand what you're objecting to if we agree that mathematicians define their field. The source link is a declaration from 25 Fields Medallists with precisely that goal. They believe/define/declare that the type of AI-generated proofs we've seen are vibecoded throwaway PoCs; they feel that a well-structured proof must include factors such as "a proper writeup, the isolation of new methods and ideas, and citing relevant previous work of others", and the success criterion is not a true/false conclusion but rather "development and integration into the mathematical canon".