So the big problem is almost nobody here, I think, if they're Harry is going to quietly wait and abide by this gambit. Someone of considerable patience might, but there's almost nobody here who qualifies. It doesn't really matter that Crynig did this in a private chat, that information would be made public after. Also, there was like 10 people in there, so it's not even as if the possibility the real harry was in the chat was statistically irrelevant.
It's to the degree where I'd say with almost full confidence Harry Potter isn't in town, because otherwise a CC would have happened.
Which would make Harry a fake claim, and the fact that Crying both felt safe in "outting" themself as Harry Potter to bait people into doing shit to them a huge red flag.