It is strange that anti-communist posts etc. always start by setting up the least likely and strangest setting instead of something more realistic.

Do I think communism would work?
No, because of how humans are. But even then I am not thinking of communism where pay does not exist.

And equal access as you called it does not mean everyone gets the same regardless of what he does.
It does mean that everyone gets the same good health care (since you took that example) and not only the rich and/or powerful.
It also does mean that a small group of people does not get fantastically rich by exploiting the masses (Amazon anyone?).