Do you think Communism or Socialism is better?
Those words have always seem pretty ill-defined to me, certainly as regards their relation to each other. I think actual communists regard "socialism" as the intermediate stage to communism, after the end of capitalism and the advent of state control of the economy, but before the state "withers away".
On the other hand, historically calling yourself a "communist" in practice implied affiliation to the actual-existing Communist Party and in particular to the USSR as it was, so anyone favouring communism who wasn't pro-USSR would call themselves a revolutionary socialist. Or if they favoured the peaceful route to socialism they'd be a "democratic socialist", which in turn seemed to blur into social democracy.
Maybe it was also just that there was a limited number of permutations of "socialist" "communist" "worker" "revolutionary" "party" "Group" "league" "front" etc available from which to create a unique name for an organisation, so they had to mix it up a bit?
In any case, I don't think whether you think "anyone rich is evil" is the factor that distinguishes between socialists and communists. Maybe the Musk progeny (the Muskette?) just thought Elon was evil?