That’s true, though I’d draw a distinction for countries with collaborationist governments willing to do the job. Vichy fits that description as well. I recognize you may not emphasize that aspect of your history, denying it is a different thing. Similar to slavery in the US, it did happen. Hungarians did deport both kill and Jews. Raised several SS divisions as well. I would draw a distinction between Italy and Hungary, both with governments allied to Hitler. Under Mussolini Italy persecuted Jews, but didn’t murder them systematically. And I recognize the threat of Russia as regards raising divisions for Hitler. I’ll note Finland, an ally of Hitler, which didn’t persecute Jews at all. I don’t think these distinctions should be erased, since they’re historical facts. Acknowledging that doesn’t mean Hungarians didn’t suffer under the Nazis which seems to be the issue.
I certainly distinguish fighting against the Soviets from the systematic murder of minorities within a country’s borders; the former was a matter of self-preservation for any country, the latter was just brutal murder - and in the two countries in question, the systematic slaughter occurred after they were occupied by Germany (in both cases, to prevent them from leaving the war/surrendering independently to the allies).
The regent Horthy of Hungary faced no war crimes trial after the war; the Allies (even the Soviets) felt he played no role in the murders, and he was a free man.