I think it's funny that you highlight this, because for many blockchains, their native token is the transactional currency also.
Which opens up the possibility for a marketplace around it, as well as an incentive to grift to recoup one's investment.
AFAIK there's no similar market for LLM tokens (the price may fluctuate, but the AI companies set it, and they can't be resold), but the grift works by instead selling the outputs from using the tokens.