I'm not "R&R" (which means Recognize and Resist, for those whom this is new - coined by Fr. Cekada). If you want a convenient acronym to describe the True Traditionalist position, it would be something like, "RSWR" (i.e. Recognize, Submit, Work for Restoration).
I have cited this before to certain people, but they ignore the Pope, His Excellency Bishop Fellay, and basically everyone who doesn't agree with their resistance polemics, "As a result of the Pope’s act, during the Holy Year, we will have ordinary jurisdiction."
https://damselofthefaith.wordpress.com/2015/12/01/ordinary-jurisdiction-for-the-year-of-mercy-bishop-fellay-says/The Pope granted it. The Bishops and Priests of the Society know they have it. That settles it. OJ cannot exist outside the Church.
Now, lest we forget, the article of Siscoe and the focus of this thread is not over the SSPX's canonical status, but over SVism and Schism
I challenge any SV to answer these questions which Ladislaus couldn't or wouldn't answer, (1) Where is the OUM of the Church today? (2) Does the OUM recognize the Pope? Those are the only 2 questions sedes need to ask and answer to know SVism is certainly false.
Xavier, you correctly point out many good catholic principles but you don't know (or ignore) the many exceptions which exist, so your conclusions are false. You really need to do more reading on these topics; you are very wrong.
Then, give me one or two texts from pre-Vatican II manuals that (1) speak of "material offices" (2) disagree with the CE's explanation of Apostolicity of mission (you won't find any) as I asked (or with that of Fr. Gueranger, St. Anthony's Catechism etc). You have not done this. When something is true doctrine, you will easily find it in multiple sources, widely attested.
If you think St. Robert has said something about "material offices", cite the text or give the reference. The Doctor never did.
Here is the CE again: "Billuart(III, 306) concludes his remarks on Apostolicity in the words of St. Jerome: "We must abide in that Church, which was founded by the Apostles, and endures to this day.: Mazella (De Relig. et Eccl., 359), after speaking of Apostolic succession as an uninterrupted substitution of persons in the place of the Apostles, insists upon the necessity of jurisdiction or authoritative transmission, thus excluding the hypothesis that a new mission could ever be originated by anyone in the place of the mission bestowed by Christ and transmitted in the manner described." The Pope grants mission to the Bishops, the Bishops do to Priests (unless the Priests are specially authorized by the Pope); in the case of the SSPX, the Pope has already granted Ordinary Jurisdiction to the Bishops of the Society, and he also specially authorized its Priests. Game over.
because they consider the V2 hierarchy as having no authority
You notorious subjectivist, in that case, the Protestants and Orthodox are also justified! The Protestants "consider the Catholic Church as having no authority", the Orthodox "consider the Roman Church as not being the Church and having no authority"; so according to Ladislaus' ridiculous and persistent subjectivism, everybody is justified who believes the Hierarchical Church is not the Church. Not just the Dimonds, who according to him are perfectly ok because what they "consider" is all that matters.

;D
Note that Ladislaus still hasn't answered the question "Where is the OUM of the Church" but expects everyone to answer him.
I don't live in the US. I'm going back to the Priory in my country around July. Someone who wants to know more, please PM me.
Except that this is not true according to the principles of sedeprivationism ... which is, again, why I hold to it as the most reasonable explanation for the current crisis.
Well, that's a start; at least you see the problem a simple sedevacantism would cause upon the demise or resignation of all Ordinaries and Roman Clergy. But sedeprivationism doesn't solve the problem for 3 reasons (1) First, as many, I think even sedes have pointed out, sedeprivationism involves the same private judgment - an Old Catholic could say the Church lost authority at Vatican I, a Protestant at Trent, an Orthodox at Florence, an Arian at Nicaea etc. So, it is more of the same subjectivism instead of the objective fact of identifying where the Church is, by Petrine and Apostolic Succession, which is how the Magisterium and the Fathers proceed (2) sedeprivationism, by half measures, ends up applying to the Catholic Church what the Catholic Church has historically applied to the Orthodox Church - the Orthodox Church has no jurisdiction, the Patriarch of Constantinople is himself a vagrant Bishop. If now it has really become true according to the sedeprivationists that the Popes and the Catholic Hierarchy themselves are vagrant and have no jurisdiction, that would constitute a defection of the Catholic Church. (3) the original sedeprivationists, decades ago, claimed the Pope could designate Bishops, but these Bishops would lack authority. So if they now want to claim their "material Pope" can actually invest Ordinaries with habitual jurisdiction, they've firstly changed their story. Secondly, as for example that Bishops appointed by the Patriarch of Constantinople would possess absolutely no authority, so also Bishops appointed by a "material Pope" would not. Therefore, sedeprivationism does not really solve the problem, and needs to be revised. It is very probable there was interference and more in the Church especially in the 60s and therefore these reforms are not free. But the absolutely minimum requisites are there.