One more thought (triple posting... sorry...) -- how does the "disappeared" ghost interact with
See Invisibility?
Since the ghost isn't (rules-y) invisible or ethereal at this point, my contrarian reading indicates it doesn't ping, but others might disagree!
But since the general opinion is that
detect evil and good and divine sense ping on a possessing ghost, I'm guessing that people generally think
see invisibility pings for it, too?
(Full disclosure: I'm just trying to figure out what the rules themselves are saying. I think it makes divination effects more powerful and interesting to work in this case, so they will at my table. But I'm not entirely sure whether they're intended to!)