I think Peter would disagree with this. He wrote this in 2 Pet 3:15,16Parroting isn't really evidence. Because it would actually be impossible for Paul to be referring to a canon of new testament scripture when there was no such thing at the time.
15 Bear in mind that our Lord’s patience means salvation, just as our dear brother Paul also wrote you with the wisdom that God gave him.
16 He writes the same way in all his letters, speaking in them of these matters. His letters contain some things that are hard to understand, which ignorant and unstable people distort, as they do the other Scriptures, to their own destruction.
Even in Peter's day, there were those (ignorant people) who took what Paul wrote and distorted it.