Moving forward, I can't imagine other mathematicians wanting to have this kind of experience. So there has to be a shift away from these services.
I'm a mathematician. I have a lot of trepidation about these tools and what they mean for the future of the profession. That said... most of us are not working on problems as famous as Navier-Stokes. Even if OpenAI could scoop me based on my back-and-forth with ChatGPT, which I presume they could if they threw $15 million worth of compute at it, I highly doubt they'd bother.
I am going all in on sovereign ai even if its worse, these companies have shown they not only dont deserve trust but are actively stealing past and present intellectual property from humanity and users.