Paul's "doctrine" was written long before Paul came on the scene. Christ did not come to write new laws and prophecies, but to fulfill them.
God's word is eternal. The written word of the spoken word of God is one and the same.
"The righteousness of thy testimonies is everlasting: give me understanding, and I shall live." -- Psalm 144:119
Again, Paul reminds us that the words of God have been recorded so that we may always know His will for our lives...
But now is made manifest, and by the scriptures of the prophets, according to the commandment of the everlasting God, made known to all nations for the obedience of faith: To God only wise, be glory through Jesus Christ for ever. Amen." -- Romans 16:25-27"Now to him that is of power to stablish you according to my gospel, and the preaching of Jesus Christ, according to the revelation of the mystery, which was kept secret since the world began,
Is this an argument for oral tradition?
If so, why did any of them write anything down if oral transmission is as accurate as written transmission. It seems pretty straightforward that oral transmission of information is more easily manipulated by the social and political pressures of the day than information that is written down. Information written down has to be erased and rewritten. Oral information only has to be reinterpreted.
Paul's doctrine was wrtitten by Paul when he wrote it and not before. The Eternal Word is the Person of Christ and not a book. The Faith was transmitted by Christ to His apostles in a historical context; based on that, they produced the New Testament.
What you offer is superstition.