One of the Nigerian priests ordained by Bp. Dolan has
written an article in which he argues that traditional Catholic clergy constitute the hierarchy of the Church today, and therefore there still is a hierarchy.
This claim is one that most people here will probably dismiss out of hand, but I find it pretty compelling.
The reasoning is simple. The Church must have a hierarchy. The hierarchy is Catholic bishops and normally a pope, but definitely it is composed of Catholic bishops. These bishops teach the Faith and sanctify the faithful.
Well, if you look at the world today, who are the people who are Catholic bishops who teach the Faith and sanctify the faithful? Obviously it's trad bishops. No one else meets that description.
The only really serious objection to this idea has to do with how jurisdiction is passed on. I think there are two possible answers. 1) Maybe trad bishops do not possess ordinary jurisdiction, but ordinary jurisdiction is not necessary to be a member of the hierarchy. Maybe supplied jurisdiction is sufficient to allow them to teach and sanctify. In any case, since everyone agrees that Novus Ordo bishops do not possess ordinary jurisdiction, then this argument results in denying the existence of any hierarchy at all, and must be considered faulty. 2) Maybe they do possess ordinary jurisdiction without being aware of it. Look at where they came from. They came from pre-Vatican 2 bishops (mainly Archbishop Lefebvre and Bp. Thuc) who possessed ordinary jurisdiction who ordained priests and consecrated bishops in an emergency situation in which they could not seek permission from the pope to do so, but did this to continue the work of the Church and the perpetuation of the priesthood and episcopacy. Maybe they did have the power to pass on the ordinary jurisdiction that they themselves possessed because such was necessary for the continuance of the Church and because of the universal catastrophe of Vatican 2. Lots of things become legitimate in an end-of-the-world scenario that otherwise are not, such as if there was a nuclear war that wiped out every Catholic bishop, it would be licit to seek episcopal consecration from a schismatic bishop if such were remaining in order to continue the Church, which otherwise would never be permissible. In a spiritual sense, that's somewhat analogous to the situation after Vatican 2.