Greed makes no sense in a truly post scarcity society. There is no scarcity from which to take in a zero sum way from another.
Status is the real issue. Humans use status to select sexually, and the display is both competitive and comparative. It doesnt matter absolutely how many pants you have, only that you have more and better than your competition.
I actually think this thing is baked into our DNA and until sex itself is saturated (if there is such a thing), or DNA is altered, we will continue to have a however subtle form of competition undergirding all interactions.