Is ordinary jurisdiction inextricably bound to an office?
It's a good question, but one that I think is unresolved in the case of the Pope.
We have already heard the opinion of many of the theologians on this thread, but I think it is worthwhile hearing again what St Robert Bellarmine says in relation to this:
1. "...if the pastor is a bishop, they (the faithful) cannot depose him and put another in his place. For Our Lord and the Apostles only lay down that false prophets are not to be listened to by the people, and not that they depose them. And it is certain that the practice of the Church has always been that heretical bishops be deposed by bishop's councils, or by the Sovereign Pontiff."
This, "they are not to be listened to", might suggest that St Robert's opinion is that the bishop has lost jurisdiction even before he loses office. He says elsewhere (I just can't find the passage at the moment) that the moment they begin preaching heresy they can bind and loose no one...
Does he hold the same in relation to the Pope?
It is difficult sometimes (for amateurs like me at least) to reconcile his various opinions expressed in different works.
2. "...the Roman Pontiff cannot be deprived of his right to summon Councils and preside over them...
unless he were first convicted by the legitimate judgement of a Council and is not Supreme Pontiff... For the supreme prince,
as long as he is not declared or judged to have legitimately been deprived of his rule, is always the supreme judge..."
3. Writing specifically on the obedience of bishops to the Pope at a Council: "...inferiors ought not be free from the obedience to superiors,
unless first he were legitimately deposed or declared not to be a superior..."
Does that mean the bishops will blindly obey the Pope? Not at all, St Robert continues "...for they swear they will be obedient to the Supreme Pontiff, which is understood as long as he is Pope, and
provided he commands these things which, according to God and the sacred canons he can command; but they do not swear that they are not going to say what they think in the Council, or that they are not going to depose him if they were to clearly prove that he is a heretic.".
Here again we have the example of true obedience. The bishops will only obey the Pope
provided that... There is no schism here!