I've contributed to 'bibles' in the past, and have worked with Directors and Producers who have used them.
In my experience, a Producer's bible generally contains everything necessary to have the film run. That includes talent releases, location releases, location details, safety reports, schedules, scene breakdowns etc. etc.
Director's bibles sometimes includes mood boards, inspiration shots, location shots, notes, shot lists, storyboards, idea, scene notes, script updates etc.
Sometimes they're combined.
I've been asked to contribute lighting plans, shot lists, inspiration shots etc to combined production bibles...
Regardless of whether you call it a production bible or not, a Director is going to have copious notes, inspiration, drawings, shot lists, mood boards etc.
Whether that's combined in one book, a folder, or just in an area...
The Producer will need all those things and need quick and easy access to them. Again, whether it's put together in a book, kept on a computer, on an iPad or whatever, they're going to have all the information and pages regardless of whether it's officially termed a 'production bible'.
That's my experience anyway. Would be interesting to hear if there are others with different experiences.