> Anyone with access to a sufficiently advanced model has the capabilities of analyzing these papers/proofs.

But they don’t. What they have is the ability to ask something else to do the analysis. It’s an important distinction. If the asker has the skills to evaluate the results, that’s one thing, but too many don’t and act as if whatever they got is unambiguous truth.

> This hardcore gatekeeping of math (and by extension STEM) fields MUST stop.

What must stop is the overuse of the word “gatekeeping”. Anyone is free to study these fields and work on problems. What people rightfully object to is uninformed research flooding everything with hard to verify junk.