In my games I have always counted Priest rely on the flip information, not the actual class. Otherwise they are able to confirm fake flips to degrees. You also have problems with abilities that require 2 targets like Drunk being uninterpretable, if it’s suddenly a Physician flip or vica versa. The only “bad” interaction this has is Scorned making a deal with a Priest to use their disguises for mechanical gain, but simultaneously that obscures actual flip information.
Other interaction is Possessor who is mildly hard countered by Priest already, so it’s good that Possessor can at least screw Priest back in ways like only flipping evil corpses that Priest can’t use. The dead can claim their real class always, so there is more counterplay there.
The current wording also allows for scum to be channeled. If you can fool a Priest, I see no reason why they shouldn’t be able to manipulate their way back. The voting would work iffy, so I’d change the wording to allow Priest priority over their vote, but that’s about it.