OK, what are the other reasons? What else is Inspiration besides inerrancy, infallibility, and accuracy?
Entire books have been written about the doctrine of inspiration. It also has much to do with how our canon of Scripture came to be what it is today.
For example, when discussing the OT canon of Scripture, The Hebrews would not even consider a book that was written after the date of 400 A.D. to be included in the canon. (That would automatically exclude the apocrypha).
The books were written authoritatively as coming straight from the hand of God. For example, the exact phrase "the saith the Lord," is used 430 times in the OT. If we include all the variations of the phrases that mean the same thing the number would more than double. It is God's Book, God's Word, God's instruction to us.
It seems that the people, especially the prophets and apostles had a way of telling which books were inspired and which were not.
2 Peter 3:15-16 And account that the longsuffering of our Lord is salvation; even as
our beloved brother Paul also according to the wisdom given unto him hath written unto you;
As also in all his epistles, speaking in them of these things; in which are some things hard to be understood, which they that are unlearned and unstable wrest,
as they do also the other scriptures, unto their own destruction.
--Peter refers to the epistles of Paul as Scripture. It was evident that not all of Paul's writings were inspired. But Peter seemed to know which ones were inspired. He compares them to the other Scriptures, (the OT) that the unlearned would wrest to their own destruction.
Look what Peter had written earlier in the same chapter:
2 Peter 3:1-2 This second epistle, beloved, I now write unto you; in both which I stir up your pure minds by way of remembrance:
2 That ye may be mindful of the words which were
spoken before by the holy prophets, and of the commandment
of us the apostles of the Lord and Saviour:
--He tells them to remember, to be mindful of the words of Scripture--those words that have been authored by the prophets of the OT, and those words that have been authored by the apostles. He puts the apostles on an equal footing with the prophets, which Jewish Christians held in high esteem.
It is not simply that the words were accurate, perfect, infallible, but that they were the very words of God that were written on those early parchments. They were coming from the mouth of God to the minds of holy men via the Holy Spirit.
2 Peter 1:21 For the prophecy came not in old time by the will of man: but holy men of God spake as they were moved by the Holy Ghost.