This is the main reason that a form of sedeprivationism or sedeimpoundism is far superior to sedevacantism proper. Indeed, the jurisdictional hierarchy has pretty much come to an end ... which according to nearly all theologians would entail a defection of the Church. This is the so-called "Ecclesiavacantism" objection. With sedeprivationism, that simply isn't true. And I maintain that even if Bergoglio and his predecessors are only material popes, they still retain the power of designation (that's why Cardinals he would appoint would be able to elect a valid formal pope). But this IMO would hold also of episcopal appointments, and so long as the appointed bishops have no impediments to exercising their office, they have full formal authority and jurisdiction. I believe that to hold true in the Eastern Rites.