"Is Pete Vere judging annulments?"
He is a canon lawyer and, especially in North America, annulments amount to about 98% of the work that canon lawyers do.
"Is Pete Vere a traditionalist?"
Yes - he used to be quite anti-SSPX, although I believe he has called a truce in terms of debate and polemic. I also believe he attends an indult Mass.
Pete would have no Indult to attend were it not for SSPX. If they eventually go under, the Indult will follow.
Of course, some people consider themselves traditionalist if they have stopped going to the Clown Mass.
He was an SSPX adherent before he was anti-SSPX and before he was again friendly to the SSPX, or at least some of the SSPX. Sounds like Kerry on Iraq!