Uh, yeah, it’s a direct answer to your question. But if you think the arguments in support of it are easily refuted, then I await your rebuttal.
In response to your second question, only an idiot can believe is a pope less church for 3 generations (and counting).
1) You didn’t give any argument, you gave the names of two non-theologians. YOU need to formulate the argument so I can give a rebuttal.
2) Is this passage from the book “The Relations of the Church to Society” by the eminent theologian Father Edmund O’Reilly, idiotic?
(Page 287)
"The great schism of the West suggests to me a reflection which I take the liberty of expressing here. If this schism had not occurred, the hypothesis of such a thing happening would appear to many chimerical. They would say it could not be; God would not permit the Church to come into so unhappy a situation. Heresies might spring up and spread and last painfully long, through the fault and to the perdition of their authors and abettors, to the great distress too of the faithful, increased by actual persecution in many places where the heretics were dominant. But that the true Church should remain between thirty and forty years without a thoroughly ascertained Head, and representative of Christ on earth, this would not be. Yet it has been; and we have no guarantee that it will not be again, though we may fervently hope otherwise.
What I would infer is, that we must not be too ready to pronounce on what God may permit. We know with absolute certainty that He will fulfil His promises; not allow anything to occur at variance with them; that He will sustain His Church and enable her to triumph over all enemies and difficulties; that He will give to each of the faithful those graces which are needed for each one's service of Him and attainment of salvation, as He did during the great schism we have been considering, and in all the sufferings and trials which the Church has passed through from the beginning. We may also trust He will do a great deal more than what He has bound Himself to by His promises. We may look forward with a cheering probability to exemption for the future from some of the troubles and misfortunes that have befallen in the past. But we, or our successors in future generations of Christians, shall perhaps see stranger evils than have yet been experienced, even before the immediate approach of that great winding up of all things on earth that will precede the day of judgment. I am not setting up for a prophet, nor pretending to see unhappy wonders, of which I have no knowledge whatever. All I mean to convey is that contingencies regarding the Church, not excluded by the Divine promises, cannot be regarded as practically impossible, just because they would be terrible and distressing in a very high degree."