The rotating adapter is the one most commonly used on each version of the cameras, and comes standard with them.
On the RB 67 at least, you can take off the rotating adapter to, among other things, attach a Polaroid back (which requires it's own adapter).
I would guess that the "RB" designation was chosen because it helped promote the (then new) rotating back, but by the time that the RZ came out, it was well known the the film backs for the Mamiya 6x7/6x8 cameras rotated, so the RZ designation was chosen simply to differentiate it from the earlier versions.