Yes, it's just ambiguous. Also, the post fails to understand the honorific form: honorific it is used only when you're talking to a person directly:

"are they going to leave the house?" is correct only when you're asking it to the subject itself. Otherwise you would just use he/she or a title name (queen, king, lord etc)

If you're looking to replace he/she you should not use an honorific form. You should either use "it", or invent a fourth third person (es, ish, woot, you name it).

Still the problem stays: political correctness traded for ambiguity.