Not only is this false (he has not provided a single shred of evidence, when it would be easy for the real Satoshi to provide near-incontrovertible evidence), but the exact opposite is true: *substantial* evidence has been provided that he was falsifying data in an attempt to prove he was Satoshi.
I think the best evidence is that he sign a message from the address that is known as owned by Satoshi. If he can do that, then there is no doubt, he is the one. There is no need for any other evidence, a sign message from that Bitcoin Address is enough. Prove it on the Blockchain.