You said above "the Pope has lost the faith." What does Catholic theology say about a man who has lost the Catholic faith holding papal office?
From Pastor Aeternus (Vatican I, 1870):
6. For the holy Spirit was promised to the successors of Peter not so that they might, by his revelation, make known some new doctrine, but that, by his assistance, they might religiously guard and faithfully expound the revelation or deposit of faith transmitted by the apostles.
Indeed, their apostolic teaching was embraced by all the venerable fathers and reverenced and followed by all the holy orthodox doctors, for they knew very well that this see of St. Peter always remains unblemished by any error, in accordance with the divine promise of our Lord and Saviour to the prince of his disciples: I have prayed for you that your faith may not fail; and when you have turned again, strengthen your brethren [Luke 22:32].
Do you realize, Stubborn, that a true Pope CANNOT lose the faith? That is the teaching of the Roman Catholic Magisterium as it has interpreted the words of Jesus Christ Himself from the Gospel of Luke?
Do you claim to be a Roman Catholic, Stubborn? If so, then you must accept on faith what the Church says you must believe. The Church says you must believe that a true Roman Pontiff cannot lose the Catholic faith. Do you believe what the Church requires you to believe or not?
I am not debating the "pope problem." I am merely stating the fact that the SSPX do not question the pope's status. The things they are saying and the respect they are showing him is, imo, how anyone under unjust excoms should deal with a pope who issued unjust excoms. Even if they were of the mind to, it would not help or solve anything for them to accuse him of not being the pope.
The problem that sedes have with the conciliar popes has no place whatsoever in this matter because, as is demonstrated in the OP, it has absolutely zero to do with the issue. The whole sede idea would need to be introduced by the SSPX - THEN it would have something to do with it, but they're not sede.
I understand that you do not agree with this, that's because you are a sede and as a sede, the pope's status is front and center in this matter, but this only is true for sedes, the SSPX are not sede so the pope's status never enters into the equation, not even one iota. Never has.
Personally, so far I like what they are doing and, for the good of souls, I hope they keep it up. Maybe if they keep it up, the crooks in Rome will expose themselves for what they are and in the process wake others up, so as to guide them out of the NO and into the true Catholic faith. It probably won't work that way, but then again maybe, it will, hopefully.