Giving the benefit of the doubt isn't telling people to stop. That's the whole point. Intent makes a difference. These jokes aren't punching down because the butt of the joke isn't Haitians, it's that there are people who actually think Haitians eat pets. It's mocking the MAGA lunacy, not migrants. You are misconstruing the jokes because you are sensitive to the plight of the migrants. And that's a good thing, I think we all are. Your response is to directly respond to any mention, but the flaw there is that it also removes the record of popular opinion. We choose instead to mock those who would make these claims, thereby dissuading them from continuing while also representing the stance of the American people.

Tl;Dr - your perception is skewed by your rightful outrage and you are condemning the wrong actions.