So, I understand quite clearly why he opposes the Cajetan / John of St. Thomas position that a Council cannot depose a pope. He's saying that if he remains the pope until the Council's declaration, convening a Council against the will of the Pope would be schismatic and the declaration would in fact be judging a pope ... basically the same argument that most of the Bellarmine adherents make against the position.
But it took me a long time to understand what the heck he was talking about in rejecting the
ipso facto position:
Therefore 2° if it be conceded that the Pope lapsed into heresy does not thus fall from the Papacy, but that he is still Pope and retains Papal jurisdiction, it is repugnant that he be subject to the general council, and that he be able to be judged and deposed by it. And 1° if it be said that the Pope is ipso facto deposed because of heresy, it is repugnant that the council be above the Pope, since one deposed from the Papacy is no longer Pope. Therefore in no case can it happen that the Pope be subject to the jurisdiction of the general council because of heresy.
He is assuming that a Council would judge him guilty of heresy. So he's basically rejecting the S&S position for the same reasons a lot of us have rejected it. If he's pope until he's judged guilty of heresy by a Council, you're judging a pope.
So it looks like he's putting the S&S spin onto the
ipso facto position, and rejecting it on those grounds.
But he didn't address the actual Bellarmine position, which I believe is actually sedeprivationism before the term was coined.
Bellarmine cites the example of Pope St. Celestine's teaching regarding the case of Nestorius, where Nestorius had lost authority and was in a state of
excommunicandus from the moment he began to "preach" heresy, before the Pope had officially removed him from office.
In fact, the whole point and argument made by those who hold the
ipso facto position is precisely the same argument he's making that if the Pope is not deposed
ipso facto, by God, BEFORE any judgment of a pope, this would be for a Council to exert authority over a Pope. In this case, this would be a Council exercising authority over a non-pope. So Bouix misrepresents the
ipso facto position the same way S&S have done.