No, it would not give him standing. He has no personal interest in the case. To assert any kind of standing would make him a de facto party to a case he is presiding over.
Again, I don't believe that is correct. There is a U.S. Supreme Court case from 1957 in which a Court of Appeals had granted a writ of mandamus against a district court judge who had referred a case to a magistrate without the consent of the parties.
The judge filed with the Supreme Court an appeal of that Court of Appeals decision. The Court took the case, ruled on the merits rather than dismissing for lack of standing, and upheld the granting of the Writ by the Court of Appeals.
https://supreme.justia.com/cases/federal/us/352/249/