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What worse can another pope do?

Excommunicate every member of the Society ferendae sententiae.

It is Rome that needs to repent, not the Society which has kept the faith.

So the fathers of the fourth Council of Constantinople, following the footsteps of their predecessors, published this solemn profession of faith: The first condition of salvation is to maintain the rule of the true faith. And since that saying of our lord Jesus Christ, You are Peter, and upon this rock I will build my Church [55], cannot fail of its effect, the words spoken are confirmed by their consequences. For in the Apostolic See the Catholic religion has always been preserved unblemished, and sacred doctrine been held in honor. Since it is our earnest desire to be in no way separated from this faith and doctrine, we hope that we may deserve to remain in that one communion which the Apostolic See preaches, for in it is the whole and true strength of the Christian religion.
Indeed, their apostolic teaching was embraced by all the venerable fathers and reverenced and followed by all the holy orthodox doctors, for they knew very well that this See of St. Peter always remains unblemished by any error, in accordance with the divine promise of our Lord and Savior to the prince of his disciples: I have prayed for you that your faith may not fail; and when you have turned again, strengthen your brethren.

As for the current status of SSPX--how would an apostolic administration be better than their situation right now?

They'd be part of the Church.

Right now the Pope himself has marginalized them, casting them from himself unjustly--which has freed them to expand and oppose his reign of novelty.

The Society has no legitimate authority to "expand".

Bishops Separated from Peter and His Successors, Lose All Jurisdiction
15. From this it must be clearly understood that Bishops are deprived of the right and power of ruling, if they deliberately secede from Peter and his successors; because, by this secession, they are separated from the foundation on which the whole edifice must rest. They are therefore outside the edifice itself; and for this very reason they are separated from the fold, whose leader is the Chief Pastor; they are exiled from the Kingdom, the keys of which were given by Christ to Peter alone. (Leo XIII, Satis Cognitum)

It has also allowed them to protect the faith in its purity--as it was practiced and believed before the modernists took over.

Like this?

But if, as happens at times, some persons or groups are permitted to participate in the selection of an episcopal candidate, this is lawful only if the Apostolic See has allowed it in express terms and in each particular case for clearly defined persons or groups, the conditions and circumstances being very plainly determined. (Pius XII, Ad Apostolorum Principis)

The case of the Priestly Society of St. Pius X presents itself differently from the case of the Diocese of Campos. It seems to me that the case of the Diocese of Campos is simpler, more classical, because what we have here is the majority of the diocesan priests and faithful, on the advice of their former bishop, designating his successor and asking Catholic bishops to consecrate him. This is how the succession of bishops came about in the early centuries of the Church, in union with Rome, as we are too in union with Catholic Rome and not Modernist Rome ...
In order for this distinction to be quite clear, it would be altogether preferable for the ceremony to take place at Campos, at least outside the diocese. It is the clergy and the Catholic people of Campos who are taking to themselves a Successor of the Apostles, a Roman Catholic bishop such as they can no longer obtain through Modernist Rome.
That is my opinion. I think it rests upon fundamental principles of Church Law and upon Tradition. (Msgr. Lefebvre, Letter to Bishop de Castro Meyer)