CathInfo.com

Then, seeing Lad getting raked over the coals and thoroughly thrashed on the subject of dogmatic facts, tries to bail out his new ally by providing him an exit strategy: “Oh, the thread has been derailed; please desist!”

No, what I mean is that I will no longer engage you on the subject, or any other subject for that matter.  I am only in the business of informing my own conscience.  If I were to conclude that these men are to be considered legitimate popes with the certainty of faith, then I would not only accept them but would beat the SSPX back into full communion with them.  To this point, however, I simply do not recognize these men as having the same faith and the same religion that I do.  And that in fact is of the essence when it comes to Universal Acceptance.  It essentially boils down to that, does the Church recognize these men as one of their own, a fellow believer.  Clearly Traditional Catholics do not, and regard them as alien and foreigners.  Whether one wants to quibble about the precise mechanisms to being able to consider such a one removed from office ... well, those are just technicalities.  What's important is that we do not recognize these men as our rules of faith, and conversely do not give them our acceptance.

No, what I mean is that I will no longer engage you on the subject, or any other subject for that matter.  I am only in the business of informing my own conscience.  If I were to conclude that these men are to be considered legitimate popes with the certainty of faith, then I would not only accept them but would beat the SSPX back into full communion with them.  To this point, however, I simply do not recognize these men as having the same faith and the same religion that I do.  And that in fact is of the essence when it comes to Universal Acceptance.  It essentially boils down to that, does the Church recognize these men as one of their own, a fellow believer.  Clearly Traditional Catholics do not, and regard them as alien and foreigners.  Whether one wants to quibble about the precise mechanisms to being able to consider such a one removed from office ... well, those are just technicalities.  What's important is that we do not recognize these men as our rules of faith, and conversely do not give them our acceptance.

Leaving aside the fact that Sean is being obnoxious, though, I don't see why "they're legitimate popes, but we've exaggerated the universal ordinary magisterium" is *off the table* as a solution.

Keep in mind that Papal Infallibility itself was debatable up till 1870.  Vatican I dogmatically affirmed it under limited circuмstances.  Maybe trying to go beyond that, or trying to say the ordinary teaching authority" of the Church in one particular era is certainly infallible, is a problem.