Well, John, it's true that you and I have different perspectives on the present day, and I appreciate that you're being duly diligent in thinking over matters for yourself and consulting sources from the past and clergy or others you trust from the present, but I really don't think our disagreement on that matters so far as the traditional Catholic doctrine on Apostolicity and jurisdiction is concerned. SJB and Hobbledehoy are both sedevacantists, the CMRI is sedevacantist, and they would tell you or have told the same.
Just answer me this, will you - does jurisdiction flow to the Bishops from an empty seat or is it true that "jurisdiction flows to the Bishops only through the Pope" as Pope Pius XII taught? If the former, that appears clearly at variance with Pope Pius XII. If the latter, you have your answer from Magisterial teaching itself.
At the time of their episcopal consecration and installation into respective dioceses, it is required there be a living Pope who possesses supreme jurisdiction in act that they may receive their particular jurisdiction as flowing through him to them. This is one of the special prerogatives of the Papacy and Catholics who defend the traditional teaching today are doing no wrong.
I'll have plenty more to say later but let us look directly at the quote from Pius XII which you claim says "jurisdiction flows to the Bishops only through the Pope". Perhaps you can direct me to where he stated that, but this is what I read from Pius XII on the subject:
Finally, in his epoch-making encyclical, Mystici Corporis, Pius XII states explicitly and without any qualification that the bishops receive their jurisdiction directly from the pope:
as far as each one’s own diocese is concerned, they [the bishops] each and all as
true Shepherds feed the flocks entrusted to them and rule them
in the name of Christ. Yet in exercising this office they are not
altogether independent, but are duly subordinate to the
authority of the Roman Pontiff; and although
their jurisdiction is inherent in their office, yet they receive it
directly from the same Supreme Pontiff. – MCC 52; italic ours.
Here are quotes from Van Noort that may indicate it flows from the "authority" or "mediate" will or "implicit" will or "legal" will of the Apostolic See:
To be able to do this, we state, they must be
adopted by the
authority of the supreme pontiff.
Adoption (assumption) is a short form standing for “adoption or assumption into the corporate body of the pastors of the Church.”
We use the phrase, “by the authority of the pope,” to indicate that a direct, personal intervention by the pope is
not necessarily required.
So long as the adoption be done by someone to whom the pope has entrusted the task (regardless of the precise way in which the pope commissions him to do so), or in accord with regulations already established or approved by the pope.
The objection is raised: in ancient times the popes did not intervene in any way at all in the selection of bishops. That
they did not always intervene directly and by explicit consent is granted;
That they did not intervene at all, not even
mediately and by legal
consent we deny.
In the absence of historical testimony, it is admittedly impossible to prove this statement [that the Popes intervened even mediately and by legal consent in ancient times but he feels he has to prove they did because of the doctrine that jurisdicition comes from the Holy See] directly.
Still, keeping in mind Catholic principles, it is fair enough to reconstruct the process somewhat as follows. The apostles and their principal aides, in accord with Peter’s consent and will, both selected the first bishops, and decreed that thereafter when sees became vacant
the vacancy should be taken care of in some satisfactory way, and in a way which at the very least would not be without the intervention of the neighboring
bishops.
As often, therefore, in accord with this process, established with Peter’s approval, a new bishop was constituted in the early Church, Peter’s authority ratified that selection
implicitly.
Later on, when ecclesiastical affairs were arranged more precisely by positive law, the patriarchs in the Eastern churches and the metropolitans in the Western churches used to establish the bishops; but they did so only in virtue of the
authority of the
Apostolic See by which they themselves had been established, even though
in a variety of ways.
2. The other, and always the majority opinion, maintained that bishops received their jurisdiction not directly, but indirectly from God. [Interjection: What about Mathew 18: 18? He gave this authority to ALL the Apostles.] They receive it, in other words, through the supreme pontiff who, in establishing them as bishops, at the same time by explicit will, or at least by
legal will, confers jurisdiction upon them. [
Again this is said without denying the reality of the past, that bishops were consecrated without asking for or getting the Pope’s permission and these were fully functioning bishops nonetheless]. This second opinion, in the judgment of the same Benedict XIV, “
seems: (a) more in harmony with reason; and (b) more in harmony with authority.”
In reference to (b); St. Optatus of Mileve says, “St. Peter alone received the keys of the kingdom of heaven to confer them on others” (De schismate Donatistarum 7. 3). In these words, Optatus seems to have been considering, not the apostles [
The apostles themselves, according to the more common opinion, received both their jurisdiction and their mission from Christ Himself directly (Zapalena, loc. cit., p. 105).] themselves, but their successors, the bishops. [Interjection: I believe Christ gave all the powers to bind and loose, but Peter could bind what they loose and also loose what they bind, this is also said to pertain to binding and loosing of sin in the Sacrament of Penance]
Again, during each interregnum the bishops did not lose their authority but continued to function, with all their power (apart from infallibility and the ability to form a perfect council) just as they always had. I agree that Bishops consecrated against the expressed will of a valid Pope do not have full jurisdiction. But those consecrated to keep the Church going, who submit to the Papacy and any valid Pope when he comes into existence I deny until the contrary is sufficiently proven.
But when it gets down to it, from the laities perspective, not much changes whether they have ordinary jurisdiction or not.
But if our clergy can dispassionately seek the truth and have their findings peer reviewed and then make a statement on their findings, I believe we all would be able to live with it, until a Pope comes along to make a binding decision on this topic which will no longer be relevant when we get a Pope, except should a long interregnum happen again. It will be relevant for the typical short interregnums though as some seem to indicate that there must be a living Pope in order for the bishops to have ordinary jurisdiction. This does not seem plausible to me.