There are various aspects to the papacy, so there are various things to doubt. When debating the topic, people need to be more clear.
Pax, you are bending over backwards to normalize or naturalize, doubting of the popes validity. FYI, those who claim the position of sedeism admit they have very little to no doubt at all that the guy is not the pope - THIS is the normal or natural, even expected result of having serious doubts as regards the popes validity. It really is not so complicated.
A lot of trads have no idea and couldn't care less if the pope is the pope, their main goal is to strive to maintain the faith in this mess, and for them, deciding the status of the pope or being the least bit concerned or curious as to his validity plays zero part in maintaining the faith.
Then there are trads like myself who have zero doubt that the pope is indeed the legitimate pope, and in striving to maintain the faith, adhere to the Highest Principle in the Church, namely: "We are first of all under obedience to God, and only then under obedience to man."
(Fr. Hesse) and using that as the guide that it is, even if we are all completely wrong about the popes validity, so what?
As I explained a while back:
The truth of the matter is that "we are first of all under obedience to God, and only then under obedience to man".(Fr. Hesse) This means we Catholics remain under obedience to the pope, but only so long as in obedience to the pope we do not offend God. Since the popes have commanded nothing, certainly nothing we can obey without offending God, all we *can* do is remain alert and watch for (albeit do not expect) a command, directive or some other teaching that might bind us - and that we can obey without offending God. This is what faithful Catholics, subjects of the pope do in these times.
Again, it is not complicated.