I've seen it happen a few times and in every case, the context was such that it was very well known to be a joke and done in a very self-deprecating manner so it wasn't a problem.

But it still shouldn't be done.

Cases, where it's used as a tiny micro-aggression or kind of with a dark undertone, are especially bad.

New managers may not quite comprehend the existential nature of the comment.

There are a ton of worse things that new managers do, usually, things need to be spelled out clearly.