It’s for third party hosters. And you still need proof regardless, you can’t just dmca stuff and not follow through with proof and enforcement.
Most content is hosted via a third party, and the more popular third parties (e.g. YouTube) don't seem to check the proof, they just take it down.
The cease and desist requires a judge, so it needs to actually have proof, so the barrier is much higher.
If you self-host, sure, but very few people actually do that, especially for something like a parody where reaching a broad audience is the entire point.