It ain’t gonna happen. It can’t happen. That’s not how it works. Anyone who thinks the contrary, anathema sit, as that’s straight out and out heresy. Traditional-ism-ists, that is, as personifiers of ideology, can be heretics like any others. I remember a certain seminary back in the day citing Hans Küng of all people to justify their irregular situation in the Church. Sometimes opposites attract, right?
If a Pope can be deposed for what he himself says is a non-Magisterial contribution to a dialogue, a contribution held by some to be outrageous (whether it is or not being beside the point), that means that any Pope for any reason can also be deposed by people who make up the rules as they go along (what they call constitutionalism: note the “-ism). Thus, in that view, a Pope such as Pius V or Pius X could also be deposed for personally being saints and for speaking clearly and rightly to the whole Church.
Also, in that case, and this is the point, such is the Protestant mis-exegesis of Matthew 16. The Rebels say that Jesus founded the papacy on Peter’s faith, not on his person. The Catholic doctrine is that Jesus founded the papacy on Peter.
I suggest to the tender snowflakes that they stop cowering before their own hurt emotions, grow up, and do something helpful to bring about a good situation for the salvation of souls. But this bit about deposing the Pope because their feelings are hurt is not helpful. It just reveals something under the snow.