The letter is just a call to action reminding everyone how Mathematics is done and how Mathematicians operate within their domain with all the Human factors involved.
But because of the bad behaviour (plagiarism, going-behind-the-back etc.) and incentives misalignment, AI companies are currently not aligned with that.
There is also the structural problem of generating proofs at a rapid pace just because you can but then have no way for "proof digestion" which is the key in the mathematical process. See Terence Tao's writings - https://teorth.github.io/tao-web/ai-views.html
But because of the bad behaviour (plagiarism, going-behind-the-back etc.) and incentives misalignment, AI companies are currently not aligned with that.
There is also the structural problem of generating proofs at a rapid pace just because you can but then have no way for "proof digestion" which is the key in the mathematical process. See Terence Tao's writings - https://teorth.github.io/tao-web/ai-views.html