If I were a Traditoinal Pope, I'd accept them back as individuals but would dissolve the organization and demote their leadership so that they would be permitted to hold any authority in the Church again.  If some of them wanted to report to a Father Alphonsus, they would be permitted to seek entry into his group ... but as a group and as leaders of anything, they're disqualified.

They should have added:

And we repudiate all who curse the name of Fr. Leonard Feeney, a priest whose only crime is telling non-Catholics that they must become Catholics to be saved.

That'll never happen.  If there's one common enemy of both the Modernists and Dogmatic Sedevacantists to everyone in between, it's those who defend the one dogma that in its denial has been at the very heart of this crisis.  Everyone else are just fighting windmills going after the symptoms while refusing to see and ignoring the root cause so the disease, and in fact denouncing those who do see the root cause and are calling for an actual cure, not just treatment of the symptoms.  Dogmatic SVs and radical Modernists might in fact some day hold hands and join in a united attack on those wicked Feeneyites, the most depraved of all the heretics.  Father Feeney was the only one who saw it coming before it happened, with the rest merely applying the 20/20 of hindsight, except that EVEN NOW they don't recognize the theological cause of what happened.

They left the conciliar church and are being welcomed by the Resistance Bishops.
Thats good enough for me.

Another comment above mentions a sede bishop. Which is it?

They left the conciliar church and are being welcomed by the Resistance Bishops.
Thats good enough for me.

https://exsurgedomine.it/251017-christchurch-eng/

(May contain errorsTd.)

Mons. Carlo Maria Viganò
``Tolle Missam, tolle Ecclesiam``
Statement by Archbishop Carlo Maria Viganò
regarding the religious community
of the Sons of the Most Holy Redeemer
`{`1`}`

The day will come
when people will no longer tolerate sound doctrine,
but, itching for something new,
they will accuмulate for themselves teachers
to suit their own desires,
refusing to listen to the truth.

2 Tim 4, 3-4

A few days ago, after seventeen years of tensions with the Vatican and with the Bishop of Christchurch in New Zealand, culminating in an order of expulsion from the Diocese confirmed by a decree from the Holy See, the Transalpine Redemptorist Community issued an Open Letter (here). In this Open Letter, the Redemptorist Fathers denounce the principal errors of the conciliar-synodal church, its open hostility toward the Apostolic Mass, and the malpractices to which the Sons of the Most Holy Redeemer have been subjected. The Redemptorist Fathers affirm that “the chain of command has been broken” within the Hierarchy: “When a superior distances himself from his obedience to Christ the King, his command is no longer the arm of Christ, but the gesture of a man” (IIa IIæ, q. 104, a. 5).

The crisis of authority in the Catholic Church is now evident. In the subversives’ plan, it is intended to lead to the dissolution of the ecclesial body, replacing the Roman Catholic Apostolic Church with a surrogate of human origin and Masonic inspiration. The principal instrument of this subversion is synodality, that is, the application of the revolutionary principles of democracy and popular representation to a divine institution that its Founder, Jesus Christ, intended to be monarchical and hierarchical. In this way, having broken the bond of obedience to God, Authority becomes absolute and tyrannical, answerable for its decisions neither to Our Lord Jesus Christ nor to the Christian people. This revolution allows the faithful to be manipulated into believing that the innovations and heresies introduced by the Hierarchy are being demanded by the rank and file, when in reality they are imposed by a lobby of those deviating from Faith and Morals.

  I can only praise the courage of these Redemptorists, whose denunciation joins the increasingly frequent denunciations of the scandal and profound discontent of the clergy and people of God with regard to a rebellious and apostate hierarchy. We are no longer witnessing mere conciliar ecuмenism toward non-Catholic sects (despite being condemned by the Pontiffs up to Pius XII), but rather the acceptance and legitimization of all false religions and idolatries, and the programmatic points of the globalist agenda (LGBTQ+ pansɛҳuąƖism, immigrationism, environmentalism), with which the “synodal church” is fully aligned.

  This crisis is theological in nature, not canonical. It concerns the systematic dismantling of the perennial Tradition of the Roman Catholic Apostolic Church and the dissolution of the Depositum Fidei: it should therefore be addressed with theological arguments. Judging different cases individually in the light of Canon Law, without correlating them within the broader context of a subversive action planned for decades and implemented with the active and conscious cooperation of a large portion of the Episcopate, merely gives official recognition to an erring and morally deviant Authority, to usurpers who exercise the power they have seized against the will of Our Lord Jesus Christ, Head of the Mystical Body, to the detriment of the Faithful, for purposes opposed to those Our Lord established for His Church.

  I exhort the Sons of the Most Holy Redeemer and their faithful with the words of Saint Peter: Remain strong in faith, knowing that the same sufferings are afflicting your brothers throughout the world (1 Pt 5:9). The Exsurge Domine Foundation – with which the Transalpine Redemptorists already have relations of fraternal friendship – myself as Archbishop and Successor of the Apostles; together with the clerics of the Fraternity of the Familia Christi, also persecuted and “canceled” by the “Bergoglian church”; together with the many priests and religious scattered throughout the world whom I follow regularly, we assure them of our full support, in the absence and complicit silence of fearful and cowardly Pastors. For it is written: If these were silent, the stones would cry out (Lk 19:40)...."

*****
I pray for all Trad bishops "Resistance".