This is what I found in the link I added in the original post.
Simon Peter and Apostolic Succession
One of the pillars that the Rome Catholic Church states that they are the first and true church of Christ that had there beginning from the apostle Peter. They claim that the line of popes can be traced back, in unbroken succession, to Peter himself. In its concrete form, apostolic succession is the line of bishops that goes from Rome stretching back to the apostles. All over the world, all Catholic bishops claim to have their lineage of predecessors traced back to the time of the apostles; specifically the apostle Simon Peter who is stated to be the first pope of the Roman Catholic Church. The role of apostolic succession in preserving true doctrine is illustrated in The Bible.
Today, as we look at The Bible and the Roman Catholic Church we can see that there are many differences concerning doctrine. These differences are not a simple misunderstanding but at times appear to be the complete opposite of The Bible. When one studies out the major differences between the Church of Rome and The Bible it is not difficult to see that they have not preserved the doctrine of Christ or The Bible. If anyone were to study such subjects as infant baptism, the mass, Immaculate Conception of Mary, eternal torment in hell, graven images, or the Sunday Sabbath they would not be able to support these ideas from The Bible. In fact, as stated earlier, these doctrines are completely opposite of The Bible. These ideas and practices have their roots in Paganism and Babylonian religions.
Where did the departure of simple Bible truth enter the church? Like any seeker of truth, let’s go back to the beginning to see where these false doctrines came into the church. With the claim of apostolic succession, we’ll go back to the apostle Peter himself and see how the departing of the truth came to be. When we look in The Bible there is no recorded of the apostle ever being in Rome much less being the head of the church. There are countless supposed historical accounts that Peter was in Rome but they all come from Catholic sources and are not first hand accounts. The earliest accounts are of Catholic fathers but even they do not agree with The Bible. So let’s look to The Bible and see why the apostle Peter was never in Rome and couldn’t be the founder of the Roman Catholic Church.
Below are eleven major New Testament proofs, which completely disprove the claim that Peter was in Rome from the time of Claudius until Nero. These biblical points speak for themselves and ANY ONE of them is sufficient to prove the ridiculousness of the Catholic claim. Notice what God tells us! The truth IS conclusive!
PROOF ONE: We should consider Christ’s commission to Peter. This is often very embarrassing to Catholics, because Christ commissioned Peter to become chief minister to the CIRCUMCISED, not to uncircumcised Gentiles.
“The gospel of the CIRCUMCISION was unto Peter; (For He that wrought effectually in Peter to the apostleship of the circumcision, the same was mighty in me toward the Gentiles
” (Gal. 2:7-8).
Here we have it in the clearest of language. It was Paul, NOT Peter, who was commissioned to be the chief Apostle to the Gentiles. And who was it that wrote the Epistle to the ROMANS? It certainly WASN’T Peter! “And when James, Cephas [Peter], and John, who seemed to be pillars, perceived the grace * that was given unto me, they gave to me and Barnabas the right hands of fellowship; that we should go unto the heathen, and they unto the circumcision” (Gal. 2:9). Paul further mentioned his special office as the Gentile Apostle in II Timothy 1:11: “Whereunto I am appointed a preacher, and an apostle, and a teacher of the Gentiles.”
PETER is NOWHERE called the Apostle to the Gentiles! This precludes him from going to Rome to become the head of a Gentile community.
PROOF TWO: Paul specifically told the Gentile Romans that HE had been chosen to be their Apostle, not Peter. “I should be the minister of Jesus Christ to the Gentiles, ministering the gospel of God, that the offering up of the Gentiles might be acceptable” (Rom. 15:16). How clear! Paul had the direct charge from Christ in this matter. He even further relates in Romans 15:18 that it was Christ who had chosen him “to make the Gentiles obedient, by word and deed.”
PAUL Established the Only TRUE Church at Rome during the apostolic era.
PROOF THREE: We are told by Paul himself that it was he – not Peter –who was going to officially found the Roman Church. “I long to see you, that I may impart unto you some spiritual gift, to the end ye may be established” (Rom. 1:11). Amazing! The Church at Rome had not been ESTABLISHED officially even by 55 or 56 A.D. However, the Catholics would have us believe that Peter had done this some ten years before – in the reign of Claudius. What nonsense! Of course you understand that NEITHER Peter nor Paul established the Catholic Church! But these proofs are given to illustrate that it is utterly impossible for PETER to have been in any way associated with ANY Church at Rome.
PROOF FOUR: We find Paul not only wanting to establish the Church at Rome, but he emphatically tells us that his policy was NEVER to build upon another man’s foundation. “Yea, so have I strived to preach the gospel, not where Christ was named, LEST I SHOULD BUILD UPON ANOTHER MAN’S FOUNDATION”(Rom. 15:20). If Peter had “founded” the Roman Church some ten years before this statement, this represents a real affront to Peter. This statement alone is proof that Peter had never been in Rome before this time to “found” any church. Peter Not in Rome*
