Fr Zed acutely reminds us* of the strange statement by the Holy Father at the start of the Year of Mercy that the Faithful could go to Confession to priests of the SSPX. Father pointed out that this, apparently, was not a formal and juridical granting of faculties. Indeed, it appears that it was not.
However, such a statement by a Roman Pontiff must inevitably create a common opinion that those clergy must have faculties to absolve, otherwise the Vicar of Christ would not have urged the laity to visit their confessionals. And Canon 144 makes clear that in cases of common error, the Church supplies the necessary jurisdiction. Hence there can be no doubt about the validity of such absolutions, however peculiarly roundabout the canonical means adopted by the Pope to achieve this end.
It would, surely, be simplest, in this age when so few are accustomed to make use of this sacrament, if every priest had jurisdiction to absolve vi ordinationis unless he had been explicitly denied that jurisdiction by a competent tribunal or superior, and except where the law itself witholds jurisdiction in the case of particular offences. I am surprised that 'liberals' do not agitate for this. Is it because they don't care about Confession?
If the Holy Father wishes to leave a real Monument of his Year Of Mercy, I think this modest canonical adjustment would demonstrate serious intent.
A broad solution of the status of the Society would be even more significant.
UPDATE I wrote this piece after reading Fr Zed's piece on Tuesday 15 of this month. There are more exotic rumours afloat now!
I know one should not look a Guest Horse in the Mouth ... but I would scratch my head a bit, and meditate upon Vergil's alliterative warning about Danai and their dona, if a 'regularisation' were to be accompanied by either (1) "We've let these chaps off believing loads of Vatican II so it's only fair to let the other lot off believing most of the Catholic Faith; or (2) "Now that I've been Merciful to these liturgical eccentrics in their irrelevant ghetto, we don't want any more of that ad Orientem et cetera stuff in the mainstream Church."