One of the most interesting things to happen to the scriptures is their balkanization into verses. We generally don't atomize other writings that way, and when folks read the scriptures as a series of disconnected logical propositions all sorts of wackiness ensues. What would it look like to have an API for the collected works of Jane Austen that returned snippets (some of which are not even complete sentences)? How…
Chapter and verse come in when you want to quote something, or shorthand something, or refer someone to a specific and narrow section.
In this usage, it's very similar to the way we cite Shakespeare, Homer, Chaucer, Milton, etc. For example, the St. Crispin's day speech in Henry V is at IV.iii.18-67, and any Shakespearean actor, fan, or scholar knows what that means, but that notation doesn't force them to think of the play as merely a set of disconnected speeches.