They aren't trying to 'solve' chess, go, or mathematical proofs as an end in themselves, but mainly in order to learn more about how to build better systems overall. The goal of AlphaZero was ultimately as a stepping stone towards AGI, and it's the same with LLMs.
That’s still an assumption. Since when do you uncritically believe what people are saying without taking into account the different external drivers on those people.
You can believe they believe they are telling the truth or that they have good intentions while still being skeptical of the effective trajectory.