As a professional mathematician, I would say that a good proof requires a very good representation of the problem, and then pulling out the tricks. The latter part is easy to get operating using LLMs, they can do it already. It's the former part that still needs humans, and I'm perfectly fine with that.
But are you ok with the trendline of ai improvement? The speed of improvement indicates humans will only get further and further removed from the loop.
I see posts like your all the time comforting themselves that humans still matter, and every-time people like you are describing a human owning an ever shrinking section of the problem space.