Sean,
To hold an office IS necessarily to hold jurisdiction. That's where the jurisdiction comes from, it's attached to the office.
Those who do not possess an office do not have jurisdiction. That does not mean it cannot be delegated to them or supplied to them, but for lack of delegation they do not have it, and the supplication of it only extends to certain acts, and only for the duration of those acts in order to ensure validity.
But sedeprivationism is not concerned with priests, rather bishops. Introducing priests into the mix unnecessarily confuses the issue. The entire point of sedeprivationism is to combat the difficulties presented by the crisis viz. authority (or lack thereof) and succession. It is concerned with assigning some theoretically authoritative character to the bishops and popes of the Novus Ordo Church.