I was just curious. While they are not in complete schism from the Church and are allowed to validly hear confessions and witness marriages in the Church, it seems they are closer than ever to being in full communion with the Church again. They are of irregular status, which I don’t know exactly what that means but basically from what I’ve been told it means their sacraments are valid and are Catholic. They however are not in full communion like the FSSP or the ICKSP, however are not sedevacantalist like the SSPV and the CMRI.
What is it the SSPX refuses to concede, or even the Vatican possibly that causes them to remain irregular? It is saddening. The SSPX is by far the largest of all of the societies who offer the Extraordinary Form. It would be so nice if they were in full communion again.