It's SVism that requires us to become our own theologians, and declare Popes recognized by the Apostolic Church to not be Popes ...
No, quite the contrary, it's R&R that requires people to become their own theologians, sifting the Magisterium, and determining for themselves which teachings of the Magisterium are true and which are false.
SVism on the other hand merely requires that someone recognize that this Conciliar Church lacks the marks of the Catholic Church. As Vatican I taught, there's a role for reason in recognizing the motives of credibility and then giving assent to that authority in the first place. We do not recognize the voice of the Shepherd in this Conciliar Abomination. Meanwhile, R&R claim that, yes, this is the voice of the Shepherd, but we'll decide when it's speaking truth and when it's not.