If - and that if is doing some heavy lifting; given the underlying, fundamental problems of LLMs it doesn't make any sense to assume that we'll get there anytime soon - LLM AIs will be able to dominate economy in such a way that humans cannot compete anymore, that simply means that humans will have tons of free time at their hands. ( There's a reason for the grain dole that the Roman elites handed out to the poor of the city. I assume if you have a whole population that doesn't have anything valuable to contribute to the economy, the economy will still have to find a way to sustain them. Otherwise riots.)
A well developed brain seems to be exactly what I would want in such a case.