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I believe it is more likely for a purported Pope never to have had the authority in the first place. I do believe it is quite plausible that John 23 and Paul 6 were material Popes until Paul 6 approved Lumen Gentium in November of 1964. This is when he resigned from the Catholic Church and became the head of something broader. This ocurring when he redefined the Church of Christ to that which is a mish-mash of the Catholic and heretical religions that are attached to the Catholic Church by his definition.
When (J23 and) P6 approved LG they were giving an
erroneous theological opinion,
they were not defining dogma. There was no protection of the Holy Ghost because
they had set aside the condemnation of error in 1962. They did not bind the
faithful with anything, because there was no power of the keys invoked.
That's why the Council is full of garbage, from nonsense all the way up to heresy,
and we're seeing the fruit of it now.
Therefore, there was no verifiable abdication and establishment of a new church,
as you say, however, that could be a criticism against P6; but it would take the
highest authority in the Church to say so, and that's not you or me or anyone like
us.
"The Catholic Church Subsists in the Church of Christ". It is difficult to find blatant "official" heresies (they are only official if a valid Pope promulgates them) before that docuмent was approved but not after.
I got an old copy of the Vat II docs from a used book store, and someone had
written in the front cover that Outside the Church there is salvation, and on the
page where LG 8 has "subsists in" they wrote: No more EENS! (Extra Ecclesiam
Nulla Salus)
That was the beginning of my investigation into the Vat. II problem, it was 1984.