None of this really solves the problem of Vatican II. Let's get rid of Bergoglio ... regardless of whatever reasons might be adduced. OK, so what? Crisis over? What about Roncalli, Montini, Wojtyla, Ratzinger? Do we have to go analyze their motives, motives that may or may not be discernible in the external forum?
To me a defect of "motive" would put him in the same category as an occult heretic ... unless there was clear external-forum evidence knowable and provable in the external forum to the contrary, e.g. a docuмent written by Bergoglio (and the others) where he admits to be a Mason intent upon infiltrating and destroying the Church. Same holds true of marriage. Unless there's clear, unequivocal, demonstrable, unassailable proof in the external forum regarding contrary or defective motive, the marriage is presumed valid.
We know they're not popes because popes cannot destroy the Church. As to why? Only God knows. We reject them all (Montini, Wojtyla, Ratzinger, and Bergoglio) as manifestly non-Catholic in the external forum.