You wrote:
“Pope John XII (955–963) (deposed by Conclave) was said to have turned the Basilica di San Giovanni in Laterano into a brothel and was accused of adultery, fornication, and incest (Source: Patrologia Latina).[27]”
This is an example of why people interested in getting history right cannot rely on Wikipedia.
1) We know that John XII lived a scandalous life, but there is every indication that the stories about him and his behavior became rediculously exagerrated.
2) Patrologia Latina is over 200 volumes long. How can it be listed simply as “Source”? Source where? Which volume for crying out loud?
3) Malachi Martin is then listed as a source. Martin, a one time Catholic priest, became a sedevacantist bishop apparently and made his living from publishing books about supposed scandals in the Vatican (which was obviously self-serving).
So how corrupt would a pope have to be before the institution he represents loses its authority? How many children diddled? How many illegimate children before the “Infailible in faith and morals” is no longer valid?