Hmmm. Isn't the clip now officially part of the "public record?"
It would appear, prima facie, that linking to the YouTube video in his opinion would make the clip a part of the court record, and thus, if YouTube has removed the clip, they are apparently guilty of tampering with the court records after the decision.
An easy solution would be for YouTube to provide a copy of the "offending" media for attachment to the court's file.
Watching MLB scream at the court to expunge their "property" would be amusing.