Still today? I suspect there are very few socialists who would recognize that distinction.
And as I said, they're all communists to me. Leftists, socialists, nanny staters, greens - whatever the specific cause du jour, any more I think they fall under a single umbrella.
I think the majority (I'd include republicans - as nanny staters) can still realize the distinction intellectually.
Conservatives do seem to differ with more of today's "left" in their emotional reaction to the crimes of communism.