A lot of those books were written at the same time as the bible. But the folks that put the bible together wanted a consistent theme.
Anyway, most of those lost books were not translated by the court of King James, so they would not “sound” the same.
Let's see. James sat on the English throne from 1603-1625. The New Testament portion of the Douay-Rheims was published in 1582 in France. The Geneva Bible (Breeches Bible) was published in 1560.
Compare the Geneva to the AV, and one will see that the Court of St. James had almost nought to do with the 'sound'.