Prove to be false too many times.
The selection of the books to be included in the Bible is itself a part of this Tradition.
Proven to be a false assertion.
Tradition and the reception of the revelation of the Bible are both part of our Lord’s promise to send his Holy Spirit and to be with us until the end of the ages.
Jesus did not write a book but established a teaching church from which we received the Gospel and Sacred Scripture.
We received the Word from God. He moved the ekklesia to include the books of the NT and OT. Not the other way around.
We were not left "Tradition". We were left His Word and Holy Spirit which is to guide the ekklesia.
As he has continued to guide the Church in preserving Sacred Tradition. Indeed, the declaration of which books belong in the Bible is an example of this Tradition.