Satoshi can only prove his identity, nobody can prove he is not Satoshi. The closest to a prof I can think of is if Dorian were in a TV studio while the real Satoshi signs a message given by the TV station with one of the oldest keys.
Guess that won't happen which is why this horrible woman will get away with this.
Exactly. He could claim the he is Satoshi, but without signing a message or sending a transaction from him addresses, there is no proof.