It seems like cover art types could benefit from distinguishing between a booklet that is separate from the packaging itself (such as with jewel cases) and booklet type info that is printed directly on the packaging (as with gatefold CD and LP sleeves). Usually it is one or the other, but there are cases with both.

Perhaps retain "Booklet" for the actual booklets, and "Packaging" (which I think was suggested previously) for the info printed on the sleeve? They could always be combined, too.