For all anyone knows Satoshi isn't even alive anymore.  It's probably for the best.

Moreover, it's not clear that it would help.  While it isn't a signature by Satoshi, under oath Craig wright provided a list of the bitcoin holdings he claims he mined as satoshi... thousands of early addresses. ... and as soon as the list was published the owner(s) of over 100 addresses signed a message saying those addresses didn't belong to Wright and that Wright was a fraud.

This seems to have little to no effect.  This utter demolision of Wright's claims has been almost entirely ignored by the media because Wright and his conspirators have extensive influence over the media by putting out a constant stream of articles that lazy journalists can copy-and-tweak into their own articles.