Lad says right here "if you don't at least have a positive doubt, then you have no business being a Traditional Catholic, for you are a schismatic".
Lad can correct me, but after reading hundreds of his posts (as you have done too), I interpret his theory as saying that:
.
1) a Traditional catholic, by definition, does have some doubt/confusion about the V2 popes, because they attend a non-rome sanctioned mass.
2) A traditional catholic, by definition, receives sacraments from "schismatic" (new-rome's perspective) priests.
3) A traditional catholic implicitly rejects V2 and new-rome's authority (in favor of Quo Primum's authority) by attendance at non-rome sanctioned Trad masses, just as anyone who attends an indult implicitly accepts V2 and the new mass.
4) Xavier is an example of Ladislaus' hypocritical schismatic fake-trad, because he fully believes that the V2 popes are popes, and yet he attends Trad masses. He ignores canon law and goes wherever he wants.
.
All Trads are implicit V2 pope doubters. Sedes are just explicit about the doubt and take it to the extreme. ...Even most conservative novus ordo-ites are papal doubters. It's a sign of the times - confusion.
.
He considers those who understand that the pope is the pope to be in schism - yes, he is confused.
That's an over-simplification.