They used to do that. Since their specials i think they take their time more

One thing that really rubs me the wrong way nowadays is that South Park loves mocking people who want to change things, good or bad. Look at how they endlessly ridiculed Al Gore for being mostly right about climate change for example

Honestly I watched some old episodes recently and felt the opposite. I miss the weird out of left field humor of the first few seasons, before they got obsessed with being a cardboard filter over making fart sniffing libertarian gotchas in their characters voices. They got way too into giving their take on current events, which are basically always just "libs bad lol isn't caring about stuff cringe???". I miss when the Loch Ness monster wanted $3.50.

Havent watched SP but humor changes.
There was a time when joking about racial stuff was funny.
In the earlier days a german sweet called "Schaumkuss" (marshmallow glazed with chocolate) was called a "Negerkuss" (transl.: Nigger's kiss)
At the time it was appropiate.

Culture and humor is always changing. You could make as many terrorist jokes as you wanted but queue 9/11 and suddenly you had to be careful about the target group and culture.
Europeans would maybe smirk at 9/11 or terrorist joke (maybe not even those since the IS attacks in Paris, Brussel, etc.) but an american would knock you a peg deeper into thr ground.
Also this all depends on the context.

SP was always just unfunny and cheap to me, never enjoyed it or it's jokes. Agree with The Simpsons though, can throw on like any random episode and it's good watching. Gonna add Futurama in here, I find that great but most of the jokes in it are self-referenced, so it's better to watch them in order.