It is a very powerful tool to shut up adversaries and it is extremely harmful for real opinions and real free speech.
But they may also have no hate towards other ethnicities or desire their deaths. If pressed, they might even say that their vision of a "pure" society isn't worth the deaths of minorities that would come about if they tried to implement it.
I think too often we confuse the stereotypical example with the definition. The stereotypical white supremacist hates minorities, but the definition itself doesn't require it (I know of no surveys that would tell us what proportion of white supremacists match the stereotype).
My whole point is that you (and many others) are using a new definition of "hate" which doesn't match the old one. "Hate" used to be an emotion, a feeling, a dislike of something and a wish to see it destroyed.
One can feel superior to something without having any dislike of it or a wish to see it destroyed. I consider myself superior in many respects to the rocks in my back garden, but I neither dislike them nor wish them destroyed.
A supremacist may consider themselves smarter or prettier or taller than some other group, but that does not necessarily mean they want to destroy the other group.
Any left-wing should be allowed, any right-wing stuff should be denied.
Few exceptions exist on the western side, Spain is probably the most remarkable case. Reason why you wouldn't often hear much about what happens there, unless it is something negative to bash the right-wing people there.
It comes across as very dishonest.
There are people who genuinely think the Holocaust was exaggerated or didn't happen at any substantial scale who bear no ill will to Jews, seeing it simply as a question of historical fact of limited relevance to the modern day.
I would really recommend doing a cursory, bare-minimum reading of the associated Wikipedia page [0] and citations. Plenty of historians revise the events surrounding the Holocaust to provide less biased and more nuanced information. Very different from taking an assumption as fact (the holocaust did not happen) and working backwards from that.
Why not just say "we ban speech that says the Holocaust didn't happen"? Why get it classified as hate and then because somehow hate is censorable get it autocensored? It seems somehow disingenuous.
The only reason people deny it is because of anti-semitism.
What does the word "hateful" mean? The old meaning is "full of the emotion of hate". Someone who thinks the Holocaust wasn't real could in theory have no strong feelings about it and think it has no relevance to their lives.
It is not required by definition that Holocaust denial is hateful (using traditional definition of the word "hate"). Nor is it required by human psychology (for example, you could have someone who read an unfortunate sampling of books as a child and took "disbelieve anything the victors of a war say about their enemies" as gospel and never got educated on the details).
"I don't hate them! I just think they got a bit worked up over a few arrests. They're too sensitive. I don't blame them for it, but when you deal with them you've got to remember they can be prone to distorting the truth."
Come _on_
A court found him guilty for "groepsbelediging", insulting a part of society, which is a crime. He did not get a punishment.
That's the only example that comes to my mind of something that the courts found not allowed in the Netherlands.