Tbf in a utopian society skill levels would be used for the betterment of the human race, all other species and the planet, not to make cash and climb a social ladder or inherit entitlement.
Your stature would not be evaluated on if you can make money.
All societies even an equal one would need some structure and hierarchy to function, just not one based on what ours are based on now.
Art, science, literature, architecture etc could in theory flourish, advancements in space exploration or medice, advanced without patents leaving some of it exclusive to the few.
Saying that as a species we are not ready for an equal or utopian society as we still squable over imaginary sky people and lines on a map.