This Revelation Timeline Decoded post exposes this explanation from Catholics which say that the Roman Catholic Church was started by Peter.
Catholics uses explanations like this to justify that the Roman Catholic Church is the true church of Messiah. First of all, it’s wrong, because the saints were witnessing against the antichrist beast Popes long before the Protestant Reformation.
The ‘Catholic’ leader of 33 AD is Simon Magus who sought to buy the power of the Holy Spirit. When he was rebuked by Peter, he went to Rome to feign to be an apostle of Messiah.
The ‘Mystery of Iniquity‘ took place when Simon combined the veneer of the Scriptural faith with the false gods of Rome, which formed the basis of Romanism, the false religion of the Roman Catholic Church.
Here’s a video that explains it in detail:
The irony of having Luther on their explanation is that he was a Roman Catholic monk. When he was given the Scriptures he compared what the Popes taught against the rule of Scripture, and he found that the Roman Catholic Church is an apostate church, the harlot church of Revelation 17, which is led by the son of perdition, the antichrist beast Pope.