What about notoriety by fact? It's very clear that some v2 'popes' have publicly worshipped with false religions. And also published heretical docuмents.
For example, take John Paul II kissing the Koran. Go down to the basement and stand next to your punching bag before you look up that photo.
Blatant objective apostasy. Public also. How can a man wear a white cassock and kiss the Koran? Well they think that all of these false religions contain 'seeds of the "Word"'. Many elements of the Catholic Religion are shared by our brothers in Islam. The Holy Ghost does not hesitate to use these elements as a means of saving our Islamic brethren, and the 'Church of Christ' subsists in Islamism to the degree that these elements are found there.
Pardon me while I get bandages for my knuckles.
Don't try too hard to understand this junk; if you understand, you have a diseased mind.
These poor popes have diseased minds to be able to do such things all while professing allegiance to Jesus Christ and His Church. We must pray.