Not sure what you are seeing, but what I see isn't bit depth banding. It would help if we could see the same setup and camera angle, both with and without the phenomenon.
If I do the same trick with an Alexa XT (preparing for a feature) there seems to be some banding on both sides of the image:
... but is it actually the same? There seems to be only a single shot with a single camera in one video, but the other video shows completely different shots with a variety of setups.
Were both camera shot under the exact same conditions (at the same time, with the same lighting, from the same camera angle)?
Was the reverse lens configuration "light tight" on both cameras, or could light leak in, around the back of the lens?
Did one setup use a matte box or lens hood (or a lenser flag) while the other setup didn't use a matte box or lens-hood?
You mentioned the possibility of internal reflections. If the Alexa setup was light tight, could the lens be sending light off to the side internally, that reflects off of shiny parts of the lens adapter/mount?