All Catholic Bishops are successors to the Apostles, the debate is whether they are formal or material.
This isn't right, see below:
The apostolic succession can be defined as: the public, legitimate, solemn and never interrupted elevation [suffectio] of persons in the place of the Apostles to govern and nourish the Church. (Cercia, I, p. 223) Succession may be material or formal. Material succession consists in the fact that there have never been lacking persons who have continuously been substituted for the Apostles ; formal succession consists in the fact that these substituted persons truly enjoy authority derived from the Apostles and received from him who is able to communicate it. (Herrmann, Theologiæ Dogmaticæ Institutiones, n. 282.)
Obviously a man does not become a genuine successor to the apostles merely by arrogating to himself the title of “bishop,” or by carrying on in some fashion a function once performed by the apostles. Neither is it enough for a man merely to possess some one, individual power, say for example, the power of orders. - The power of orders can be acquired even illicitly, and once acquired can never be lost. - What is required for genuine apostolic succession is that a man enjoy the complete powers (i.e., ordinary powers, not extraordinary) of an apostle. He must, then, in addition to the power of orders, possess also the power of jurisdiction. Jurisdiction means the power to teach and govern. - This power is conferred only by a legitimate authorization and, even though once received, can be lost again by being revoked.
The succession of traditional Bishops is public, legitimate, solemn and never interrupted. They certainly govern the Church. Their succession is certainly either material or formal. There have never been lacking persons who have continuously been substituted for the Apostles. I believe it can be argued that they enjoy authority derived from the Apostles and implicitly received from him who is able to communicate it. They have not arrogated the title of bishop to themselves, it was passed on to them from a valid line of apostolic succession, how does that line become unApostlolic, they don't just act like bishops but are bishops, they don't merely have orders of a Priest but are in fact bishops. They do enjoy the complete powers of an apostle, they can minister all the sacraments and consecrate bishops and ordain priests, start seminaries and they do teach and govern. If this is not done in the Catholic Church, which Church is it that they head? They do have the power to teach and govern.
If you look at Griff's writings objectively, he is very familiar with Van Noort and reads strait out of his book on you tube, the last official act of Paul VI before he could no longer be considered even a material Pope was granting universal jurisdiction.
I wish someone would actually read what Griff wrote and refute it line by line.
No one has explained why it would slip by the watchful eyes of the CMRI Priests who vet the articles for the Four Marks if it is a categorically wrong opinion.
All that being said, I see where there is chaos amongst all the Bishops. It seems no two agree on one topic or another. But I believe this is due to human failings, the lack of charity in the world, no visible head for 55 years, and some pretty bad lay people to deal with. Then some may have impure motives, financial motives, be plants, so much goes on that we won't know about until the end. We can only guess, but I believe it is safe to assume that not all of them are on the up and up.
But for the common layperson, the action to be taken is the same, whether we are in a perpetual state of epikea which seems odd, or we have visible bishops with formal succession which are in fact the Traditional Bishops, which seems plausible, and that we must fortify ourselves with the Sacraments where possible, pray and stay in a state of sanctifying grace.
If the only visible Catholic Bishops we are are arrogating the bishopric to themselves are they not acting against the will of the Church? Are they not "irregular" because they obtained the bishopric without the mandate? Should we support such bishops? Can you see why there are home-aloners?
Shouldn't they all sit back and wait for the hidden bishops or whoever has the formal succession to do something? If it is wrong to arrogate the bishopric to oneself as is claimed, have they not done an evil, claiming something that is not rightfully theirs, to obtain a good, the sanctification of souls, thus breaking a most common moral law?
Lefebvre and Thuc had the mandate and did what a valid Pope would have them do. How does this "unapostolic" them and their successors? Did Lefebvre and Thuc become unApostolic when they consecrated bishops against the will of the anti-Church? What would have happened if they waited for a valid Pope to give them the formal go ahead?