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.
It is really hard to believe that Craig Wright is really Satoshi Nakamoto because he made a lot of false evidences in the court, that is why he is really a liar and he just wanted to get the fame. I think the real Satoshi would not show his true identity because he might be afraid from what the government will do to him.
It has been shown that developers of mineable coins do not suffer any issues from the government.