No, I'm not saying that, fair, I may well not be being very clear, though. I'm not that clear in my own mind.
I don't think I am projecting a Protestant structure. Honestly, I don't. I'm probably not expressing what I mean very well, but I don't mean that.
The Papacy developed in a world where martyrdom was normalized, and where knowledge of large-scale event such as Hitler's persecution of Jews and other groups, was impossible. I think that is really important. I do not think this is a Protestant viewpoint (and FWIW, it is also quite a common Orthodox viewpoint, and there is a reason why the Orthodox Church has a different theology relating to the patriarch).
I am aware that it isn't entirely my business to comment as I'm not a Catholic, but it's hard not to have a view. If I'm offending you, I'll stop trying to hammer out what I think, as I don't want to treat on any toes.