If this is a hoax, I really don't understand what a Craig Wright can materially gain from claiming he is Satoshi. Unless he's playing some sort of long con, where he claims he doesn't want publicity or to profit from it, but then accepts a deal from someone to trade his non-existent genesis block Bitcoins for real hard currency. It'd be like a grifter in Las Vegas claiming he was a Sheikh or a Saudi Prince and refusing all inquiries from public, but then allowing one person to reach him and then swindling that person in a deal.

Or maybe the 'real' Satoshi Nakamoto offered Craig Wright a big chunk of bitcoins if he would claim to be Satoshi, so that his true identity would never be revealed.