I grant that the common theological opinion here is at first glance squarely on the sedevacantist side, namely that public heretics are not members of the Church. But in the case of the Pope, a few additional points need to be kept in mind.
It appears to me, and there are significant authorities on both sides, in saying that as a matter of necessity, a public material heretic would be outside the Church, whereas an occult formal heretic would still be included in her as a member, involves some discordance.
To remedy this, some have proposed that Christ, by a singular and exceptional providence, would continue to give jurisdiction to a secretly heretical Pope. But if that were conceivable, then it is at least conceivable also that, as Billouart says, and as traditional Dominicans today have argued, that Christ could sustain said jurisdiction just a while longer even, namely until he is declared a manifest heretic by the Church.
The Dominican Father Garrigou-Lagrange, basing his reasoning on Billuart, explains in his treatise De Verbo Incarnato that an heretical pope, while no longer a member of the Church, can still be her head. For, what is impossible in the case of a physical head is possible (albeit abnormal) for a secondary moral head.
The reason is that, whereas a physical head cannot influence the members without receiving the vital influx of the soul, a moral head, as is the Roman Pontiff, can exercise jurisdiction over the Church even if he does not receive from the soul of the Church any influx of interior faith or charity.
In short, the pope is constituted a member of the Church by his personal faith, which he can lose, but he is head of the visible Church by the jurisdiction and authority which he received, and these can co-exist with his own heresy.
According to the more common opinion, the Christ, by a particular providence, for the common good and the tranquility of the Church, continues to give jurisdiction to an even manifestly heretical pontiff until such time as he should be declared a manifest heretic by the Church
If we are talking about a *public* heretic, then this idea is neither for the good of the Church - as the last 50 years of the Novus Ordo Church prove very well - nor is it sustainable in light of the fact that the Church has no authority to depose a true Pope.
But, for the sake of argument, let us suppose for a moment that he would be a true Pope. By what reasoning or authority, then, do the "recognize-and-resist" adherents restrict the authority of such a "true" Pope and treat him, in practice, like any heretic, that is, they avoid him, refuse his teaching, dispute the validity of his acts (such as promulgation of laws, canonizations, etc.)?
If he is a true and valid Pope, then all the Church's teachings about the papacy necessarily apply to him, and he is fully vested with all pontifical authority. It seems to me that the SSPX has created a new category of Pope. In addition to "true Pope" and "false Pope," the SSPX has invented the concept of "true Pope but...".
It doesn't work that way. There is no such thing in Catholic theology as a true Pope who doesn't need to be submitted to. In my opinion, this shows that the SSPX merely accords the Pope a primacy of honor, not of jurisdiction, which is heresy against Vatican I. Saying Benedict XVI is the Pope entails a bit more than just saying it.
Well stated again.
It is dogma that a valid Pope must be submitted at the peril of our souls.
If the concilliar Popes are valid then we must accept what they have bound which is V2, the new Sacraments, the new Mass, the new Canon Law, and the new Catechism. Am I forgetting anything? Yes. The new rite of exorcism, and the example that it is okay take part in false worship and break the first commandment as the V2 leaders do.
Have I forgotten anything? Yes.
We must accept Communion in the hand and girl altar boys as being perfectly acceptable.
Have I forgotten anything? Yes.
The true altars being smashed and the Priest facing the people during Mass, and eucharistic ministers and laypeople doing the readings also must be accepted as perfectly legitimate.
Have I forgotten anything? Sure.
The woodstock Masses where countless purported Eucharists are dropped on the ground and stomped upon, rock music and single couples who sleep over night in the field is perfectly acceptable.
I do not know why the preconciliar Popes did not think of such things. How unecuмenical of them.