Depends on what info they will ask, what matters the most is the alias.
But I don't get why a web archive of the login page can be an evidence since logging using the alias in the achieved page wont work.
Anyways, since the "
Forgot Identifier" page archive is still available, there was an instruction there that may be (
hopefully) relevant until today:
If you don't have an email associated with your account please
contact us (Support Desk) with any information you can provide including Skype
username, Google Talk username, secret phrase or alias.