An interesting summary From Angelqueen... (There Sedevacantism is foolishly BLEEPED.) One CS Gibson writesGetting scared here, because that sounds awefully close to the SSPX position which I embrace
Sedeprivationists do not believe that Pope Benedict has actual jurisdiction over the Church. The SSPX believes that the Pope has jurisdiction. The difference is night and day.
The sedeprivationists have managed to find a theological "trick" for the problem of restoring the papacy (all the Pope has to do is become theologically acceptable to them), which is a problem that does not seem to concern the s.e.d.e.v.a.c.a.n.t.i.s.t.s (at least those who have not elected their own "popes").
they claim the occupant of the chair of Peter has technical jurisdiction to keep the chair warm for a "real" one to come along. Sort of like the role of the camerlengo after a pope's death
I have met Bishop McKenna and enjoyed his hospitality. Though I do not take the BLEEP! view of things, I would most definitely vouch for him as a kind and good man and very prayerful. The community of nuns he has established seem very prayerful as well and quite normal. Unlike so many other groups he has no pretensions to grandeur.
Though irregular his consecration is certainly valid. As I recall he was consecrated in 1986 by ML Guerard des Lauriers OP ( a former professor at the Lateran University, and Econe and the principal author of the famous "Breve Esame Critico" of the Novus Ordo Missae. Guerard himself was consecrated in 1981 by Archbishop Thuc, there are photos of it, and a brief correspondence with Cardinal Ratzinger ensued in which the then Cardinal wrote to Thuc asking him to desist from consecrations and to ask Guerard, and Carmona whom he had also consecrated, "to come to their senses." It is worthy of note that these seem to be the only Thuc consecrations which Rome took seriously, apart from the Palmar de Troya fiasco.
Guerard des Lauriers is remembered as a distinguished, though somewhat eccentric professor whose lectures went over the heads of most of his students. He was always a very 'Integriste" Catholic and was shocked by Vatican II and the liturgical reform, and with Archbishop Lefebvre, the Abbe de Nantes, the Abbe Coache etc, was part of the early French resistance to the conciliar reforms. In fact it was Fr Guerard des Lauriers who persuaded the Archbishop to return to the 62 missal at Christmas 1969. Until then Monsigneur Lefebvre had been saying the 65 rite.
Being very much of the Roman School of theology and taking an extremely high view of the infallibility of papal and conciliar docuмents, he reached the conclusion that the wording of
Dignitatis Humanae fulfilled the requirements for an infallible definition, but that as the content contradicted the traditional doctrine the only conclusion could be that Vatican II was somehow defective and not a genuine council of the Church. To explain this he came up with the theory that Paul VI was not properly a Pope owing to a defect in his intention to accept the Papal office at the time of his election, and thus he did not receive the 'form' of the Papacy, but remained only its 'matter', to wit, the legitimately designated electee of the conclave.
GdL's ideas are somewhat related to what one might call the "Dominican School" on the question "de papa haeretico", ie those of Cajetan, Billuart and Garrigou-Lagrange all of whom held that an heretical Pope did not immediately lose the office until some declaration of the Church was made. Though Billuart and Garrigou-Lagrange took the view that the Pope would retain jurisdiction, even as a heretic, Guerard des Laurier's theory is that even jurisdiction would be lost in so far as it concerns the supernatural aspect of the Church, but that in so far as the Church is a legal entity in a natural sense the material succession of pontiffs would continue until such a time as one returned to the faith at which point he would receive the 'form' of the Papacy. Presumably this event would be known by the repudiation of Dignitatis Humanae and the Novus Ordo Missae, though Guerard seems not to have worked this through fully.
As far as I know Guerard des Lauriers was not primarily concerned with the questions of obedience or schism which most latter day BLEEPS! seem to be obsessed with in the battle of words with the SSPX. He also took the view that the faithful in order to receive the sacraments could assist at an 'Una cuм' mass at least occasionally. A view repudiated by most BLEEPS! it would seem.
The primary source for all this information is Sodalitium the journal of the Istituto Mater Boni Consilii. It is available in French and Italian, and ---a rarity in the trad world--is, though polemical, refreshingly polite in debates with others.
In addition to being influential in the founding of the Istituto, GdL was also a founder of the Dominicans of the Fraternite St Vincent Ferrier of Chemere-le-Roi, who have been reconciled with Rome since 1988.