Correct... It was not absolute free speech that led to the Nazi genocide being perpetrated on the Jews, it was the abrogation of Free Speech that led to it. People who spoke against the Nazi order had a habit of being disappeared...
There was a direct line between suppression of free speech and the Holocaust.
Yes, once they were in power the Nazi's did fully suppress free speech. But in Weimar they were defenders of free speech so they could claim all Jews sought to assault innocent blonde German girls. So they could run daily stories about how all Jews were secretly using baby blood from German children in hidden ceremonies. How all Jews were the cause of any societal ill at that time. And at the same time running stories about how in the old days Jews who did such things were violently expelled from cities and everything became milk and honey afterwards again.
But because they never directly called for violence against Jews or named specific people it was protected free speech.
And to use your words, the Jewish community at that time 'had a thick skin'. They accepted that it were 'just words and words did not hurt anyone'.
But in the meantime that relentless barrage of hate slowly poisoned the well, so that when the actual Holocaust started enough people went 'Well, I've read about it so often, there must be some truth to it' and looked away.
A nice current example is Twitter. Musk was THE critic of the company because it suppressed his (followers) right to spew hate speech. Once he was in power he suppressed everyone critical of him or the hate speech.
The Anti-vaxx movement is similar, decades of open and unopposed lies and people are welcoming back diseases as if it is a good thing.
I do understand your philosophy, but personally I feel it is as untenable. You assume some mythical Free Speech right that everyone shares.
In reality your philosophy is very open to abuse by the 'Free speech for me, but not for thee' crowd. Sure, both left and right have those with that idea, but it's the right in control of most media and who are in control of the US and seeking so in the UK. And their tactic is disturbingly similar to the Nazi one. The right wing press invents/exaggerates problems, repeats that on a daily basis and blames it on scapegoats. All free speech of course. But once they are in power free speech vanishes to a far greater degree than imposed by the laws you and Hercules56 so oppose.
So yeah, I do believe that hate speech laws by the government, tested by an independent judicial apparatus, will allow far freer speech than your model, which will lead to free speech as seen in Hungary, Russia and increasingly the US.