“Paul proves apostolic succession is incorrect...”
Incorrect.
Paul was vetted and received by the Church. This was a unifying event and there was still one unified Church.
In recent history, on the other hand, the case is very different where Satan has succeeded to bring about the presence of “preachers” who preach a different gospel, and are not united to the Church. (Again, that would include the modernized “Catholics”.)
Uh...no.He did not need "vetting" by the church.
3As he was traveling, it happened that he was approaching Damascus, and suddenly a light from heaven flashed around him; 4and he fell to the ground and heard a voice saying to him, “Saul, Saul, why are you persecuting Me?” 5And he said, “Who are You, Lord?” And He said, “I am Jesus whom you are persecuting, 6but get up and enter the city, and it will be told you what you must do.” Acts 9:3-6
The disciples were originally afraid of him and did not believe he was a disciple (Acts 9:26).
1Paul, an apostle (not sent from men nor through the agency of man, but through Jesus Christ and God the Father, who raised Him from the dead), 2and all the brethren who are with me, Gal 1:1-2
1Paul, an apostle of Christ Jesus by the will of God, Eph 1:1
15But when God, who had set me apart even from my mother’s womb and called me through His grace, was pleased 16to reveal His Son in me so that I might preach Him among the Gentiles, I did not immediately consult with flesh and blood, 17nor did I go up to Jerusalem to those who were apostles before me; but I went away to Arabia, and returned once more to Damascus. Gal 1:15-17
Your logic is wrong, and unbiblical.
Peter and those he influenced pseudo-selected Matthias and wrongly numbered him with The Eleven. Never heard from again in the scriptures.
Jesus, Lord and Christ selected Saul of Tarsus to be the twelfth apostle, and the scriptures flowing from his Spirit-controlled teaching provide the mass of New Testament guidance of the churchES.
Jesus did the selecting, Paul did the receiving, and the local prototype Jerusalem panel of elders, guided by the Holy Spirit, discerned that this was true, and awarded the ministry to the Gentiles into Paul's primary care, whilst reserving the ministry to the Jewish Christians to be supervised by Simon Peter. The Jerusalem church was governed by a plurality of elders, which is the model for any legitimate local independent autonomous assembly of Christian disciples throughout the ages.
The RCC is not one of them. Their supposedly unifying "transubstantiated" theory of the Remembrance Supper is spurious, not to be accepted by Bible-trained believers.