Just an idea. If Craig Wright is NOT Satoshi Nakamoto, he would definitely risk the real Satoshi come up with a proof, that Craig is not SN. Is it possible, that CW explicitly knows about the death of the person behind SN, so he can make his claims without backing them up with a proof?

But are you framing him for murder or?
Hah, jk, if your theory is true then he and SN knew each other in the past, but if SN didn't give him the private keys to the genesis block or close-to-genesis blocks then he wasn't someone of trust to SN, so why would we trust him then?