I agree mostly with your general point, but I want to talk a bit about your example. I think it's okay to mock the Pope because I think religion is silly and ought to be mocked a bit. Of course, if you're Catholic, you might disagree. It's a good example for that reason. However, Catholics have a lot of power in society. They are not as marginalized as many other groups. So the example might not hit for everyone because intuitively, they don't think mocking Christianity or Catholicism is going to cause much harm in a western country where these groups are incredibly powerful.

Appropriation, and/or, as you said, stereotypes and jokes, are often mocking a culture or a people too. If they are a marginalized group, which often they are if they're being mocked, then it can add insult to injury

To clarify, here's a good example: As another commenter pointed out; appropriation is actually about making fun of things that other cultures hold sacred. An example I have heard of (but am pretty ignorant about myself) is wearing a native american feathered headdress.

I have heard it's reserved for specific people that indigenous Americans want to honor with it. It's like wearing a medal as a general. So, wearing a feathered headeess and cosplaying as native is belittling something they hold sacred.

I don't know why you are getting downvoted, it is the exact same thing as the comic. People on twitter didn't like a women wearing a Chinese dress to prom, while everyone from Asia was supporting her. https://www.straitstimes.com/world/united-states/us-teens-qipao-prom-dress-sparks-cultural-appropriation-row-on-twitter

Only if they are snakes.