The Diocese Report web site claims that the story of an SSPX reconciliation is not true. That is based on statements allegedly made by a senior SSPX official to another official at SSPX district headquarters in England. They said that there will be no official SSPX representation at Cardinal Castrillon Hoyos’ Tridentine Mass in May.
The report does overreach some when criticizing the original London Times report. Calling a bishop, “Dr.” is a very common partice in most English-speaking British former colonies and is often used of Catholic bishops. The article does not say that the SSPX bishops will have to be ordained by Cardinal Castrillon Hoyos, contrary to what the DR writer says. And any reconciliation would require SSPX bishops admit that Vatican II was a valid ecumenical council. Perhaps the Times writer mixed up his notes when said they would have to swear loyalty to the conclusions of Vatican II. That would be a vague theological statement in any case.