Most mathematicians do compete for funding, based essentially on how many articles they can publish and where. Publication strongly favors problem solving. Universities are ranked on the same criteria.

What we see is a panic reaction to the fact that problem solving is "easy", which affects the future of the management of mathematics, not of mathematics itself.

Mathematicians are not luddites afraid of AI, is the academic publishing industry mixed with management interests speaking here.

If you look at the Leiden Declaration https://leidendeclaration.ai/ then you notice two weird IMO facts:

- that it was stirred by the International Mathematical Union Committee on Publishing

- that is a mixture of the older San Francisco Declaration on Research Assessment DORA https://sfdora.org/read/ and recent fear of commercial AI competition