And these are not contradictions I am imposing from outside. They arise from the SSPX's own words. Their own docuмent, the one posted in the OP, calls acts authorized by Prevost "not Catholic." If his acts are not Catholic, then he is not holy, and calling him "Holy Father" is a lie. The SSPX wrote both things in the same docuмent. Just let your Yes be Yes and your No be No.
The SSPX is not contradicting anything, what you are doing is misunderstanding their not judging of the pope, which is the first thing they said in the OP, as being some sort of contradiction. As you know, the SSPX are not sedevacantists, but if they were, then you could have an argument there.
Their rebuttal in the OP starts off with:
"Prima sedes a nemine judicatur. The First See is judged by no one. It is with these words that the law of the Catholic Church reminds us that no one has the right to judge the Pope. Indeed, one is always judged by a superior; but the Pope is the supreme authority in the Church: he has no superior on this earth. It is therefore logical that he is judged by no one. In the next world, he will of course be judged by Jesus Christ, like everyone else, but not on this earth."The SSPX are doing what they are doing while maintaining the pope is the pope - because the pope's title has always been "Holy Father" there is no lie there. Again, the SSPX are not sedevacantists.
I am trying to help the SSPX. I want the SSPX to do the right thing. I want the SSPX to simply shout from the rooftops the Truth. The reason they did the consecrations is that they do not think Prevost has the Catholic Faith. They said it in a roundabout way in other docuмents they published earlier this year. They play these silly diplomatic games, rather than state clearly that Prevost is not Catholic.
Well of course they know that the pope has lost the faith, they are not exactly idiots. What they are doing or attempting to do, is "shout from the rooftops the Truth" and they are doing it without regard to the popes' status - as they said in the op in the beginning of their rebuttal.
Why do they do that? I hope it is simply because the SSPX is scrupulous about "being outside the Church" if they speak bluntly. But I am not sure why they contradict Catholic teaching and their own stated positions. All I know is that they state things that are objectively contradictory. That is a weakness for the SSPX. And eventually some followers will discover this weakness and no longer trust the SSPX as their spiritual guide. Then those people will be prey for the unholy alliance in the Vatican of which Prevost is the current ringleader.
There is the possibility that they make an unholy alliance with the NO, particularly if they begin "dialoguing," but right now per the OP, they are basically telling Rome "it is for these reasons that this is what we are doing and going to continue to do." Not sure where you come up with them concerned with being "scrupulous about "being outside the Church" if they speak bluntly."
They are speaking bluntly, yet respectfully because they are speaking to the pope. This is a problem only for sedevacantists and maybe for others who are in some respect anti-SSPX.
The truth is getting out, by now most of the world has heard of or will hear of and likely knows at least something about the liberal pope(s) and the prot NO etc., and that somebody (SSPX) maintains the traditional teachings etc., - the rest is up to the people to seek, ask and knock.
I liken it to some odd 90 years ago when news of a cantankerous rebel priest, Fr. Feeney, was smeared all over the whole world, even by his own, for preaching the EENS dogma. Pretty much the whole world heard of it, so they knew or heard of the dogma that there is no salvation outside of the Church - the rest was up to the people.