I think I've seen discussions about this before, and obviously the USSR produced art because we still see statues of Lenin today. But how does this translate in modern times with the instance of obscure art or other modern art? Often the purpose of that art is to explicitly go against societal norms for aesthetics.
The thing is is that exchange value doesnt really exist. Thats the whole part about commodity fetishism and linen. And use value is highly subjective where for instance postmodern art designed to have no purpose still gets placed in museums where it is transformed into an object w exchange value.
Humans have use for art where even if there was no commodity production at all people will still be making use of art.