Humor is like skin, the darker it gets the less people like it

The poster shows smiling children, each missing their two front teeth, above the post-9/11 NYC skyline. The joke compares their missing teeth to the missing Twin Towers, with the line: “It’s okay, NYC. We’re just like you too.”

I'm considering using this reconstruction as part of a class presentation about controversial advertising. It’s intended as satire/irony. Do you think it’s insensitive or does the joke work?

If they just need to amplified their mocking vocabulary. (And fade it possibly in the long run. But this is another discussion and another post.) I would be my cup of tea in the short term. I believe.