...the details of extra-nonce parameter for the relevant transaction disprove that totally.
Honestly, it doesn't really prove or disprove anything. The nonce theory suggests which blocks were mined by a single computer, but Satoshi easily could have been mining on more than one computer.
Craig wright is a bully, detestable liar, he is definitely not Satoshi
I don't think that CW is Satoshi, but Satoshi could be a bully and a detestable liar, too.