"Comedian Amy Schumer says that Comedy Central steered her away from making a suicide joke on her TV show."

"This prompts Emma Garman to wonder whether suicide is the last taboo in comedy. But Michelle Dean suspects Schumer’s set-up just wasn’t funny enough."

More here, with examples of suicide humor in pop culture, including:

Oh my gosh, you can’t consider suicide humor with Joan Rivers, who began making jokes about her husband Edgar almost immediately after he took his own life. She has continued to so, and it was a theme of her roast.  Not too long ago, she made Terry Gross almost speechless with her comic references to it.

And let me add the original movie "MASH." On the TV show, they used the theme music without the lyrics, which were:

Through early morning fog I see
visions of the things to be
the pains that are withheld for me
I realize and I can see...
that suicide is painless
It brings on many changes
and I can take or leave it if I please....

It goes on. Read the plot summary if you don't know sequence about suicide:

Walt Waldowski, the unit's dentist... tells Hawkeye that he suffered a "lack of performance" with a visiting nurse and now believes he has latent homosexual tendencies. He wants to commit suicide, and asks advice on a reliable method. Hawkeye, Trapper and Duke suggest that he use the "black capsule," a fictitious fast-acting poison. At a farewell banquet that apes The Last Supper, Walt takes the capsule (actually a sleeping pill) and falls asleep in a coffin. Hawkeye persuades Lt. Maria Schneider to spend the night with Walt and cure him of his "problem."

I think suicide is an especially apt subject for comedy, and not just because it's a release to be frank or even mean about something serious. I think it's helpful as a deterrent to the suicidal logic that says this will punish those who hurt me or everyone will see how sad I was and feel so sorry for me. If suicide is sacrosanct, it leverages that logic. I know, no one wants to hurt the family and friends of those who have already committed suicide, but on that reasoning, we should never joke about car crashes, cancer, and murder.