It means defending Nazi shit by claiming you're allowed to say anything you want.
Timmy: "I think it should be legal to kill Jews."
Moderator: (bans Timmy)
Timmy (elsewhere): "Help, I'm being persecuted for expressing my beliefs!" / "Moderator X is a fascist oppressing people based on their opinions!" / "Platform X hates free speech!"
XKCD covered this phenomenon years ago, but wasn't heeded: https://xkcd.com/1357/
You can see it even in the comments on this post about the UK. Most complaints about UK censorship don't say what was being censored. If Timmy said why the moderators banned him, his argument wouldn't even survive a cursory glance.
Well, censorship has been recentky applied to Palestine Action supporters too (they're routinely arrested in the UK, and they're normally far leftists), so it's not only nazis. The thing that makes hate speech laws safe and fuzzy is that they're initially applied to restrict the speech of your enemies. Then the tide changes, and the same laws get applied against you and your friends.