Sorry, not even close. The NT is full of references to oral teaching of the apostles that we have no reason to believe was written by them. The NT endorses and relies upon the authenticity of a spoken sacred tradition. You’re stuck with it.
Appeals to reason? The ultimate fall back of the Catholic apologist. A reasonable argument is not a tenet of faith.
The same lame argument is needed to support Apostolic succession as well.
Show me a promise or show me a command. Saying something makes sense to human understanding doesn't mean squat.
You are wrong again and to prove it, I challenge you to provide the authentic spoken sacred tradition that your religion received from the Apostles that was not recorded in the scriptures...
2Jn 1:12 Having many things to write unto you, I would not write with paper and ink: but I trust to come unto you, and speak face to face, that our joy may be full.
So tell us, please...What did John say to the disciples that he didn't write down???