Re: "rich", I've essentially spent $400 on this (in subsidized subscriptions), plus my free time being a mindless drone. Given that you assume my role is automatable, it sounds like this is relatively accessible to anyone with $400 (as long as AI companies continue subsidizing the frontier models). I don't think I've had some kind of an unfair advantage beyond that. If anything, a proper mathematician would probably be able to derive the result much faster with the same tools.
I don't know how the broad availability of these tools (to mathematicians and non-mathematicians alike) will change the field, what is considered prestigious, what work gets funding, how it affects the pipeline, etc. You seem to be implying that even testing the limits of these tools, or at least publishing the results obtained with them, is unethical in itself, even though it is broadly accessible now. I can understand this point of view.