Are South Park trying to make cheap laughs from the Holocaust?

Episodes of South Park have found themselves here for stuff like characters eating their vomit. Now, the episode where cats were made illegal because of a drug craze involving their urine is the latest culprit. It's not about the drug craze but more about how Cartman was hiding cats in his attic. Cartman mentioned in the episode that he didn't see any parallels to anything in history but I did: Anne Frank and her family were hiding in an attic for two whole years because her older sister got a call-up notice to some Nazi-run work camp. They had to leave a notice saying they were in Switzerland and then hide in an attic somewhere in Amsterdam, but the Nazis still found them and took them to Auschwitz.