Someone else already said it -- attending the Traditional Latin Mass, or even singing at it, doesn't make you a "trad".
For one thing, these capable musicians and emphasis on "smells & bells" is 99% found in the Indult. After all, that's all they have! They basically just "prefer the Latin Mass" they don't believe in a Church Crisis per se -- certainly no crisis of authority, etc. otherwise they wouldn't be buddy-buddy and on good terms with the infidels in Rome! They'd be adversarial towards the new religion and the Conciliar Church, like +Lefebvre was.
But they're not. For them, it's only about the Mass, not the Faith. No wonder they fall into all kinds of errors like tolerating queers.
Matthew