@timeisnotaline
Not really no, that would be an odd usage unless there was more to it. More the moral of the story, the message/learning of the story. Moral also has to be a noun to have this usage, so moral message doesn’t work- that becomes the ethical meaning. Eg the real message/moral here is not a trans woman in the bathroom caused harm, but that letting anyone who says they are trans in is the same as letting males into women’s spaces. It isn’t just used for jokes! Common etymology means same root source/original word. I really think we are derailing the discussion here though.
Bit late on this, and don't want to derail the thread, but I'm very dubious about the equivalence of ethics and morality here. They don't mean precisely the same thing. Morality has to do with a certain set of socially and culturally defined code for thinking and behaviour, and ethics I would relate to a personal and individual set of standards/ideals.
It might seem like nitpicking, but the difference between the two is a lot to do with why we are all fighting this cause and the difficulties of doing so. The usual example given, I think, is the brown monkey/pink monkey problem; if all the monkeys in a troupe are brown and define themselves by their brownness, then socially conditioned morality sees it as a duty to kill any monkey born pink. The only monkeys refusing to do so and trying to stop the rest of the clan killing the pink monkey would be those who hold instead to an individual, personal code of ethics.
Isn't that exactly what we're about, in the face of some appalling brown monkey "morality"?