I'm not sure if that's in the same category, though. The media spreading lies and misinformation isn't necessarily the same as mocking a religious belief or doctrine.
What I'm thinking of are the times when I see those bumper stickers that say "I'm not perfect. Just saved." (which is kind of arrogant and snarky toward non-Christians)
And I like to respond (in mockery) by saying "Yeah, you're saved. From personal responsibility."
Something just occurred to me: in the case of some Christians, specifically those who falsely think they're being persecuted and don't realize their own level of privilege, they may see mockery of their own religion as kicking someone when they're down. OTOH, those doing the mocking probably don't think that the Christian is being persecuted at all and see what they're doing as taking the powerful down a peg.
IOW, I think that maybe the disagreement over whether mockery is okay is sometimes less about the underlying ethics and more about different understandings of the facts.