You understanding is mistaken. Graeber's "everyday communism" is not a market, and his whole larger point is that contorting everything to the lens of markets is simply ahistorical and unempirical.
I'd strongly suggest reading his books. They profoundly changed my understanding of how human institutions and society form.
Unless it's some sort of complete post-scarcity, it has to be understandable in market terms. What happens if people try to free-ride on the whole "communist" system? If they get excluded from its benefits, that's equivalent to enforcing some bundle of property rights.
Reddit is over there ->