Many thanks for posting the foregoing. [Incidentally, is it just me, but when I tried to go directly to your new post I was told there were no posts, and so had to access it by clicking on the thread and going to page 2; anyone else having this problem?]
One of the difficulties with the notion of the 'Apostolic deposit' undefined is that without some definition it could mean more than Orthodox tradition has it meaning. The document you cite rightly calls the Bible the testimony of those who have experienced God, but since many have done that, something marks the Apostolic Deposit off from the many pious writings which it is edifying for the faithful to read: 1 Clement, Barnabas and the Shepherd of Hermas as in some early codices, but we (unless you are in the Ethiopian Church, and then only in their greater canon) do not receive them as Scripture. Likewise the other writings of the Apostolic Fathers, which, again, may be read for spiritual benefit, but which do not contain the word of God in the same way as the Bible does.
If we understand the books as their authors did, that is as the recollections of those who had walked with Christ, and of those who had walked with them, then we get close to an answer to the question of who inspired them - God did. But He did not dictate them, neither did He guide the hands of the scribes who wrote them. He could have done either, or both, of these things had that been His purpose. He chose, instead, to found a Church and to guide it to the knowledge of the Apostolic deposit. We can only do as He said and look to the Church for its teaching.
In this is love, not that we loved God, but that He loved us and sent His Son to be the propitiation for our sins. (1 John 4:10)