what would have happen if he had been elected?
Would SV recognize this election as valid?
If you think about it, if a Catholic pope were elected, a pope who protected the Faith instead of deject it we would all be One, Holy, Catholic and Apostolic. (Speaking in general, not pointing fingers at any one particular person here.)
When the majority followed VII, (myself included), however a few held firm to the religion, those that held firm to the doctrine were still Catholic; even today SV does believe in the papacy, we even have the papal flag in our Church, today and forever, something novus ordo got rid of in most churches.
understand, but, assuming that most SV do not recognize John XXIII, would they have recognized ABL as a successor to P12? How would that have worked?
I can only imagine what would have happened: In order for a Catholic group who holds to the SV position; to recognize a true pope; I think the pope would annul Vatican II, have all the modern priest re-ordained with the traditional rite, excommunicate people like Mahony and ilk. Next bring back the Catholic catechism, this all would be very much like putting the tootpaste back into the tube.
At this time, if this should occur the world would need a supernatural happening, and if that should happen, I can say this: At my church, which is Mount St. Michaels, we
wouldn't have to change one iota, because the entire true Catholic church would look just like where I attend today. Really I know this to be true, because at the Mount the Church is exactly like it was prior to Vatican II, except the people are different persons.
Can't say much for the other groups because I have had little experience with them, except when I traveled on vacation and such. I would attend SSPX but that was only in passing through on Sundays, if there was a Mass in the area. I have found them to be much like the Mount, except for one thing; they always had a big picture of the current "pope" in their lobby. What I did find interesting about them was, although they had this picture, always in every SSPX church I attended, their sermons were about tearing him down.
At the Mount, Vatican II "popes" are hardly mentioned in the sermons, with the exception if something happened recently the faithful should be aware of. We do hear about them at our yearly conference every October.
Not sure if I answered the question you put because it seems you are saying what if ABL were elected, then after him another false pope; what would we have have done?
If that was your question, I can only answer with a big thank you to God for sparing us that muddle!