If I remember correctly, the earlier photo showed only the right page of an open Bible. I hadn't known that the left page showed a Christian banner above the US flag with an interesting note concerning the banner.
Also, note that you can see the "LORD'S PRAYER" (lettering reversed) towards the top of the right page, the words actually being on the following page on semitransparent paper.
So given previous WH policy concerning religious expression in armed forces, some bad-apple higher-ups in both WH and the Air Force are wrong about "the rules" imo.