It's almost, but not quite, false equivalence. You could make a moral relativism argument, but at the end of the day the global zeitgeist is moving towards the "good" that some people associate with liberal values, and always has been.
From an anthropological standpoint, I'm with you - the ideologies are indistinguishable. From a moral standpoint, I disagree strongly - one is generally Bad, the other is generally Good.
The best would be to just admit that Europe is wrong in censoring stupid far right (Nazis), while mostly ignoring stupid far left (Commies).
But some people liked the pseudo-communist regimes, while almost nobody liked Nazi occupation (which is still in fresh memory). So the opposition to banning Commies is real and noticeable. So not so simple.
Tl;dr: Simplified "moral standpoint" holds no water in these discussions.
But why don’t they apply the same censorship to the far left? That’s where I have my problem with it, it isn’t to protect the people from the far right, it’s to control public discourse in a way that reinforces their leftist ideology. The Communist Party isn’t censored in Europe, but right-wing groups are. You can celebrate Stalin, but would be arrested for celebrating Hilter. How is that any different than Chinese censorship? Maybe degree, but definitely not intent.