No, I don't think you read my longer answer to this question. This is a bit of a straw man position. It isn't one crazy old lady that is saying Bergoglio is not the pope. It's every Catholic in the world that is saying he at least isn't the rule of faith, even if not all of them say he's not the pope. What one crazy person does proves nothing and isn't relevant to the situation today, so this objection doesn't really need to be answered and can't really be answered anyway. Just like with your crazy friend who doesn't think Pius IX was the pope. He's just one nut case, and it doesn't make sense to formulate any real objection on the strength of the actions of one nut job.
I did read the longer answer, and, yes, this guy was a nutcase (along with Ibranyi et al.) ... but WHY is he a nutcase? What IN PRINCIPLE, based on Totalism, should stop him from doing this? There's nothing there, no backstop. This is where Father Cekada stated that we can't question HISTORICAL popes, but only present ones, except the one theologian I cited stated that someone at his time (during the reing of Pius XII) would be a heretic if he decided Pius XII wasn't the pope. Father C butchered the meaning of the term "historical" to mean "past" to get out of this problem, but it was not accurate. Could those Old Catholics have been right and Pius IX was a heretic (after all, there were serious claims out there that he had been a Freemason)? If they couldn't have been right, why? Then based on that answer, why is it OK now for us to do the same thing with VII. VII taugth heresy, so the V2 papal claimants are heretics.
In general, when there's universal peaceful acceptance, no one declare the See empty. Now, one can at some point begin raising questions, but that's as far as they could go until a braoder consensus were reached on the matter.
But that's really the problem here. This isn't a question of ... V2 never happened, NOM never happened, bad papal Magisterium never happened, but Bergolgio was giving sermons in Rome spouting heresy.
Why this is different and where reason does factor in is in determining whether the Conciliar Church has the Marks of the Catholic Church. It does not. So we therefore do not give its teaching, its Sacraments, its discipline/laws any mind. As to what the legal status of the pope is, no pope, partial pope, drugged pope, blackmailed pope, kidnapped pope, insane pope, imposter/double pope (with real one tied up in a dungeon), none of that actually matters as far as we're concerned and it not a problem we're required to solve. I actually think the issue comes from the fact that Siri was the Pope and he impeded the See from being occupied. But that's a theory among a dozen other theories. It's like the old (albeit vulgar) saying, "opinions [theories] are like [rectal orifices] -- everybody has one".
Bottom line. Is the Conciliar Church the Catholic Church? If it is, we are bound to submit. If it is not, then we cannot submit but must reject it.
But, no, an Aunt Helen can't wake up one morning on, say, October 30, 1951, and decide that based on Pius XII's "Allocution to Midwives" the day before, Pius XII is a heretic and a non-pope, so that when a few years later he defines te dogma of the Assumption, it's not certain
de fide because Pius XII's papacy is now in doubt.