Communism doesn't even exist except as an ideology. Only on paper... I grew up in a communist country and, no, people were not equal, nor did they want to be. (The girl next door had such beautiful dolls and I envied her for that. Nor did ever offer to give me at least one of them...)
I don't know, maybe in some distant future when human spirit evolves (quite a lot) maybe, just maybe it would be possible to have some sort of communist society.
And another thing while reading your post my mind kept translating communist into liberal...weird thing!
In the U.S. right now a lot of the so-called "liberals" actually are espousing communism. Sadly most of them have no clue that is what they are advocating.
Funny thing is people advocating for communism will argue that your communism was not truly communism, but theirs is. That is always the excuse.
Venezuela was the poster child for the socialists saying "see it works" until it didn't. Then it joined the ranks of "not truly socialist".