I think this has clearly become a supertrope, and we should probably identify it as such. I'd even vote that way on a crowner, should one become necessary.
Cleaning up misuse, though, doesn't require TRS. Any examples that don't fit either
the current definition, or
a broadened supertrope can be removed without asking here.
So the only real question I see here seems to be, should we modify this to be a supertrope of tropes like Captain Ersatz
? And I think we have to, since that's now how the world uses the term.
"Existential Despair" is an oxymoron.