not public shit. you think people would take their trashbags all the way to the ...place they take trash bags... themselves? or clean public buildings? or clean public toilets after they made a mess? people only have time for themselves.
Of course not, it is a job nobody wants to do but most people can do. Most people can't be doctors, and would fail miserably if they were to even try.
People are selfish, you should realize this by now. That is why everyone won't be treated the same, and why even in a supposedly communist system... people will still be treated differently according to their importance.