I don'y believe anything he says. He is a proven liar so he has to show us he has the keys to the wallets by moving the coins or there is no reason to believe him.
That was the only way he could prove he was Satoshi Nakamoto, and I read the article a few days ago about this. His lawyer confirmed that Craig Wright does not own any private keys. So I'm 100% sure he's a liar and what he said about Bitcoin is completely false. I also never believed in anything from him.