It depends.
If you are trying to understand better the field, then do a good write up of the proofs so that people can learn from it.
If you want to earn the respect of people because you found interesting proofs. Then do a good write up of the proofs so thst people can learn from it.
If you want to plant flags and pollute peoples minds. Then please publish it anonimously, no one wants to correct LLM slop for you.
Probably we should build a repository of AI slop proofs that are only allowed to be publish anonimously. That way people may be more inclined to work on it because they would feel like they are cleaning your house for free.
Maybe I'll end up doing the write ups pseudonymously. I have taken care to make sure the results can meaningfully contribute to field but I don't want to plant flags or really receive credit of any kind. I just think they are interesting.
I like my current life and don't want to get dragged into the current fracas surrounding the use of AI in math.