Firstly, I agree that this situation isn't like the Holocaust. The most resonant image of the Holocaust is the concentration and death camps. Gaza is not yet like that. But there are other actions of Nazi Germany which are a closer comparison, and a Jewish writer got cancelled by German liberals for exactly that comparison*.
Second, I don't get at all the bit in bold. Of course it is their suffering, but a key part of empathy or even of "learning the lessons of history" is the ability to make comparisons and parallels, not atomise every event as singular. For a funny example, in 2009, after the release of Avatar, Palestinians and some indigenous protestors in Central America were seen wearing ridiculous Avatar costumes - there was a common narrative both identified with.
Third, for all the speech policing of the pro-Palestinians, including Jewish people, especially in regard to comparisons, we get gems like this from the mainstream of same country:
Finally, you should read the article he linked, or this one:
https://newfascismsyllabus.com/opinions/the-catechism-debate/the-german-catechism/
Neither of them are going to make you a Nazi apologist or whatever harm these articles supposedly do.
*another one is Leningrad, depending on how long this lasts. Just saw on twitter about a child starving to death, which made me remember that comparison.