In Humani Generis, Pope Pius XII says of the Ordinary Authentic (Third Level of) Magisterium, "What is expounded in the Encyclical Letters of the Roman Pontiffs concerning the nature and constitution of the Church, is deliberately and habitually neglected by some with the idea of giving force to a certain vague notion which they profess to have found in the ancient Fathers, especially the Greeks. The Popes, they assert, do not wish to pass judgment on what is a matter of dispute among theologians, so recourse must be had to the early sources, and the recent constitutions and decrees of the Teaching Church must be explained from the writings of the ancients.

19. Although these things seem well said, still they are not free form error. It is true that Popes generally leave theologians free in those matters which are disputed in various ways by men of very high authority in this field; but history teaches that many matters that formerly were open to discussion, no longer now admit of discussion. 20. Nor must it be thought that what is expounded in Encyclical Letters does not of itself demand consent, since in writing such Letters the Popes do not exercise the supreme power of their Teaching Authority. For these matters are taught with the ordinary teaching authority, of which it is true to say: "He who heareth you, heareth me";[3] and generally what is expounded and inculcated in Encyclical Letters already for other reasons appertains to Catholic doctrine."

When Dei Verbum says, "It is clear, therefore, that Sacred Tradition, Sacred Scripture and the teaching authority of the Church, in accord with God's most wise design, are so linked and joined together that one cannot stand without the others, and that all together and each in its own way under the action of the one Holy Spirit contribute effectively to the salvation of souls." it is expressing traditional doctrine. And when Lumen Gentium describes the difference between the assent of faith and religious submission, "Among the principal duties of bishops the preaching of the Gospel occupies an eminent place.(39*) For bishops are preachers of the faith, who lead new disciples to Christ, and they are authentic teachers, that is, teachers endowed with the authority of Christ, who preach to the people committed to them the faith they must believe and put into practice, and by the light of the Holy Spirit illustrate that faith. They bring forth from the treasury of Revelation new things and old,(164) making it bear fruit and vigilantly warding off any errors that threaten their flock.(165) Bishops, teaching in communion with the Roman Pontiff, are to be respected by all as witnesses to divine and Catholic truth. In matters of faith and morals, the bishops speak in the name of Christ and the faithful are to accept their teaching and adhere to it with a religious assent. This religious submission of mind and will must be shown in a special way to the authentic magisterium of the Roman Pontiff, even when he is not speaking ex cathedra", it is again speaking of something in itself well known to theologians. See for e.g. Fr. Joseph Fenton's article, the Doctrinal Authority of Papal Encyclicals (which are not infallible), http://www.catholicapologetics.info/thechurch/encyclicals/docauthority.htm

In rare cases, when there is uncertainty or lack of clarity, then in doctrinal discussions with the Magisterial authorities, doubts or questions can be raised. This is what Bishop Fellay is doing, and is the right approach. See for example the article below from SSPX Asia. http://fsspx.asia/en/content/23944

And they tell each other: This Society is not such a huge problem. But they are annoyed because we tell them: “You are the problem.” They no longer know how to take us, and they make concessions. Where will it all lead? We will soon see. But I think that presently the situation is so catastrophic that it is causing an extremely interesting reaction. On several levels. On the level of the dialogue, all the bishops sent by Rome with whom we have had doctrinal discussions for the past two years told us that the points under discussion—always the same ones—are “open questions”. They all said this, the cardinals included. “Open questions”, meaning that you can debate them.
Therefore they are no longer obligatory. And these discussions are bearing fruit. We do not see them yet, because it is at the level of theological reflection. And that takes a lot of time, certainly ...He says that the Church, which teaches the truth, is now lost in the gray areas, in vagueness. “Come to our aid.” And also: “Do not let go of anything, continue like this, we need it!” This is new! There was nothing like this before! The bishops used to tell us: obviously there are problems, but at the end of the day.... And here they are telling us: “Resist, we need it!” Actually they do not speak too loud because they know very well that if they do, they will be cutting off their own heads.
But they are working silently, they are working to reestablish the old Mass, like one archbishop who told me: “I have a generation of priests that is lost. You can’t do anything with them. What do I do, then? I take care of the young ones.” And he gave me two criteria: priestly formation in theology it is the Summa of Saint Thomas, and in spirituality, in liturgy, it is the old Mass. I am not telling you their names because we do not want to burn out these prelates, but there are several of them.
I discover some, just like that, by surprise, and there are a certain number of them! And these are young bishops! And some of them were appointed by Pope Francis! He is not just appointing bad ones! He is all mixed up, like his whole attitude, which has also increased the general confusion. But it is extremely interesting to see that there is this movement, and I am certain that it will no longer stop. Why? Because these bishops see where the truth is, and they will not give in. They are annoyed, they are cornered, because they are in the system, but they will no longer give in. Just like these priests who have discovered the old Mass, they will do all that they can, they are annoyed, cornered, but they will keep it. These are skirmishes that have been won."

Question: How do those who believe Papal Encyclicals regularly contain heresy and worse reconcile that with what Pope Pius XII said?

Question: How do those who believe Papal Encyclicals regularly contain heresy and worse reconcile that with what Pope Pius XII said?

Sedevacantism is one answer to this question.  I'm not sure how R&R reconcile the two.

What do you make of it, Xavier?