I thought this merited a thread of it's own.
The pope question, as it were, is but a distraction/red herring.
The real problem is that -- regardless of who is or is not the legitimate head of the society that purports to be the Catholic Church -- a society that is supposed to be one, holy, catholic, and apostolic, the spotless Bride of Christ, without blemish and the single, solitary means of sanctification and salvation is, and has been for several decades, naught but a source of confusion, spiritual destruction, endless scandal, etc. Whether he is or is not legitimate, solving that issue doesn't alter the cold, hard, unspeakably-sad fact that what used to be Holy Mother Church has, to all appearances, become an absolutely shameless harlot leading millions to eternal misery.
Address that.
Because the Church always was and always will be "one, holy, catholic, and apostolic, the spotless Bride of Christ, without blemish and the single, solitary means of sanctification and salvation," and because we know that the conciliar church is "a source of confusion, spiritual destruction, endless scandal, etc." we know that the conciliar church is not the Catholic Church.
"Whether he is or is not legitimate, solving that issue doesn't alter the cold, hard, unspeakably-sad fact that what used to be Holy Mother Church has, to all appearances, become an absolutely shameless harlot leading millions to eternal misery." Well stated, this is absolutely true.
Although true, it is a bit of a misnomer to say the conciliar church is leading millions to eternal misery - as if those millions are powerless to do anything about it. The truth is that by and large, people are not, and will not be led to where they do not already want to go.
Consider if the numbers of trads vs NOers were reversed from day 1 of this mess. There would be about 99.9999% of the faithful who rejected the NO, and only .0001% of the faithful who accepted the NO. If, as it should have been, this were the case, then this mess would have ended almost as soon as it began. Which is to say that all those who accepted the NO shared in the feeding and perpetrating of it - and each share in some of the guilt for having done so.
Not sure I'm saying this right but to place all of the blame on the pope(s) for V2 and etc. is wrong, because doing so ignores the multitudes who are also guilty of perpetrating it via their acceptance of it of their own free will.
Anyway Gladius, without side tracking the other thread, I just wanted to address your query that others seemed to be ignoring.