My old classmate Dr. Larry Chapp summarizes in the NATIONAL CATHOLIC REGISTER (Feb. 24, 2026) the crisis with the SSPX in an article entitled, “The SSPX Rupture with Tradition.”
https://www.ncregister.com/commentaries/chapp-sspx-rupture
He spells out the situation. Father Davide Pagliarani has rejected dialogue as hopeless and has listed five reasons as to why. Dr. Chapp argues that these five reasons are “theologically deficient and ultimately expressive of a deep ecclesiological rupture with tradition.” Indeed, even the basic ground rules for any discussion among Catholics are rebuffed. Such a stance repositions this from internal Catholic discussion to a debate with defectors who reject ecumenical niceties. Dr. Chapp is correct, this sets up the SSPX as a parallel magisterium. He does not mince words, they might say they accept the Pope but are acting in a manner that subscribes to “sedevacantism.” Not trusting Rome, they treat the Pope as if he were not the Pope, stripped of any authority to compel their obedience.
I reflected at some length upon how Dr. Chapp shredded Fr. Pagliarani’s five reasons for disobedience. (1) Despite the world’s bishops, priests and laity overwhelmingly accepting Vatican II, they interpret the council as “rupture” and reject it. (2) Since the modern magisterium’s stance cannot be reconciled with the SSPX, they play the part of Martin Luther in repudiating lawful authority. (3) They question the Vatican’s motives and seek to coerce the Holy See with the threatened episcopal consecrations. (4) The SSPX inadvertently becomes a victim of modernism in setting itself up as the sole arbiter of what constitutes true and false doctrine and tradition. (5) They continue to malign Cardinal Müller’s essential 2017 ground rules: acceptance of the Holy Father’s authority and preserving a respectful presumption in favor of an ecumenical council of the Church.
Masquerading as the true Church instituted by Christ, the SSPX was founded out of rebellion, not fidelity, by the late Archbishop Marcel Lefebvre. They have ever since feigned orthodoxy and tradition regarding many tenets, all the while embracing a heretical ecclesiology that is akin to the modernism of Alfred Loisy. Dr. Chapp concludes: “So it looks as if the SSPX will once again defy Rome and incur an excommunication. . . And let us attend carefully to the recent remarks from Cardinal Müller, who contends that a true reform of the Church can only take place from within the Church.”
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Blogger Priest 
I know I don’t understand all the particulars. That they continue to confect the Sacraments illicitly other than the 2 Pope Francise gave them faculties for, couldn’t they all be laicized? Excommunication doesn’t matter to them. They seem to wear it as a badge of honor. That they present themselves as “Catholics” (even though they’ve all been suspended since 1975) with a false notion of jurisdiction according to their own interpretation, it seems it would be much clearer for the faithful in order to avoid the group.