I think the key difference being that with the hypothetical cooperative they can't compel your membership just based on where you live. If that statement stopp

I think the key difference being that with the hypothetical cooperative they can't compel your membership just based on where you live. If that statement stopped holding true (as it sometimes does in the real world, with block associations that are compulsory) then yes I'd say it's equivalent to government in all the important ways.