I *think* you can skin each side.
Are you sure it's wrong? A lot of those fancy schemes were on both sides, it seems.
As an explanation: Could be nobody knew, and they took the best educated guess they had at the time. The skinner (rogerdee) should be on the forums. You can ask him yourself if he had a source that showed it on both sides, or if it was his best guess. You can also share what resources you have with rogerdee, and he may update it and resubmit it (if he's got the time)