> everyone agrees that it's the result that counts.

I don't know if I agree with that. That presumes that the entire point of mathematics is to produce results. I don't believe that at all.

I believe that the entire point of mathematics is to produce human understanding and mental models that are useful or beautiful to humans. (I also believe there's a mysteriously deep connection between those two notions, but that's a different discussion.)

At any rate, I think that the old process, where humans had to cut the paths themselves before the clearing emerged, is one that led to understanding first, then a distilled result. And then the secondary task of distilling the understanding down to a clean proof is the icing on the cake. Some mathematicians are very good at keeping the intuition and understanding clear when presenting proofs. Some are not.

However, very often, the end result and proof is not where the real understanding lies, and that is one of the reasons why mathematics has been such a social endeavor. Often you can't glean the "hidden truths" behind austere proofs before you engage with people who can help you see the picture behind it. Many people who went through Baby Rudin as an undergrad can maybe relate to what I'm saying here. For a very insightful analysis about how intuition and discourse lead the discovery of mathematical truth, I highly recommend Imre Lakatos' amazing book "Proofs and Refutations."

What the models are producing is not what we had before. They are producing the cargo cult equivalent: Equations and words on paper which by means of tracing through the steps might take you from A to B. And after a while, humans might discover the true facts behind why that path from A to B exists, and then understanding emerges. And only then.

But when the process is done through AI, no one (no human) learns how to make discoveries and connections on their own. We are not letting people exercise the cognitive apparatus which is used to gain intuition and understanding. My fear is that after a while, fewer human mathematicians are able to gain the understanding mathematicians before them did.

It's as if someone removed all the barbells from a gym and made automated hydraulic jacks do all the lifting. After a while, people would wonder why our power lifters aren't as strong anymore. "But weights get lifted! That's the entire point, right?!"