The Popes in the 10th century were put in the papacy by the Roman mafia families. John the 12th was an immoral young man who lived a dissolute life. He wanted the papacy to have power and money. After his death, it was written about him in the Holy See the Rope. This pope conducted his pontificate in adultery and vanity, but he was recognized as a valid Pope. No one said, maybe he had the intention only to gain the papacy for money and pleasures. Therefore, this argument is completely weak.