When most people talk about socialism they mean the Marxist-Leninist phase after capitalism and before communism (of course we never get to communism because the socialist parasites never want to leave the socialist phase) which is characterised.

You talk about socialism as a synonym of communism; Marx itself used them interchangeably in the 19th century - but it's not the common meaning in this century in my experience. Left-wing anarchists refer themselves as communists, not as socialists.

I'm not really familiar with this nomenclature, the left-anarchists I know generally consider themselves "libertarian" or "market" socialists (or just “anarcho-socialists””). I'm definitely interested to understand your point a bit further; good you point me to some left-anarchist thought around communism vs. socialism?