It makes no sense to designate the Holocaust as a kind of ne plus ultra (of evil, cruelty, genocide, whatever) and then say that X is "like the Holocaust." The only logical statement would be "X is not as bad as the Holocaust." E.g., "I may think I've got it bad when people say mean things about me on Medium, but my suffering is nothing compared to what happened in Auschwitz."

But people who make the comparison typically (and I'm only aware of the most publicized instances, e.g. by Marjorie Taylor Greene) are carefully avoiding sense or logic. Their comparisons are born of an emotional, irrational desire * to assert their own "undeserved" victimhood--a victimhood that when compared to the suffering of the victims of the Nazis can be responded to (logically) only with laughter or scorn. And when someone does rebuke these pseudo victims, they double down on their fake victimhood and condemn the "Cancel Culture" for trying to silence them.

* I disagree with Shira Goodman that people making these sort of comparisons are lazy or ignorant. These false equivalencies are a form of Holocaust denial for people who are too cowardly to make public their deep-seated belief that the Holocaust wasn't such a bad thing after all.