“It could be that the analogy of papacy to Aaronic line is not a common theme in patristic literature....”
Not a common theme? Its nonexistent, Alex and yet the theme of a functioning hierarchial system and the consequences of disobedience to that system is indeed a common one. But with no mention of the Bishop Rome being the top hierarch of the world.
I just gave you an example of an important piece of patristic literature where a bishop of Rome corrects someone whom he accuses of sedition and implies Aaronic privilege.