Investing absolute power in any office actually weakens its authority, because the officeholder can not only undo any and all of the acts of his predecessor, but also have any and all of his acts undone by his successors.
Private judgment actually gives the Protestant adherent, and his pastors, more power over their traditions and doctrines than the Pope has over Catholic tradition and doctrine.
They can create all of theirs ex nihilo from the Bible or other sources without reference to anything or anyone else, if they want, because their private judgment is absolute.
In the absence of an authority with the ability to judge competing claims, it is little wonder Protestantism has experienced so many doctrinal schisms.
What the knee-jerk papal loyalists are claiming for the Pope--absolute control not only over the interpretation but also the substance of doctrine--is what every Protestant claims for himself.
While this may in the short term strengthen the power of a particular Pope, it actually weakens the authority of the office over the long term.