What's annoying about this is to make the joke work you have to mangle the pronunciation of "crepes". It's a French word and it rhymes with "step". I don't know how you can get an "ay" sound out of a word containing only "e" as a vowel.
I never understand why these exist. Like why not just have him eat grapes and say “The grapes of wrath”? Not that it would be funny either but like, it’s right there.
Humor can be hard to explain (and explaining it sometimes makes it less funny).
I think what makes crepes funnier than grapes is the American association of crepes with sophistication and "fancy restaurants". The juxtaposition of the genteel with an embarrassing demise is funny to some people. Especially with the woman looking on with vague disapproval, as if the choking man is commiting a faux pas.
A joke like this definitely won't land for everyone. I find it mildly amusing, but not that funny.