I mean...Jesus was an orthodox Jew and prayed in (mostly) Hebrew (the sacral language), not Aramaic (the vernacular language of the Jews at the time). Having a "sacral language" or "sacral register" is not specific to the English or to the KJV. You will find the same phenomenon in other areas as well, some of which aren't even remotely religious. Think of the register of speech people use when writing a paper for publication in an academic journal, it's distinct from the register of speech you'd use when talking with your mother, or addressing graduates at a university commencement speech.