The only issue I could see surrounding that (and I‘m not sure if it applies to Reg Force members-gone CIC, but it applies to substantive Majors in the CIC)is that apparently the CO must be the highest rank. Even in corps where there are Lt‘s as the CO, if a Captain comes in, and isn‘t being the CO, they take a rank reduction (and pay!).
When people get promoted to Major out here on the west coast in the CIC, apparently they have to sign something that essentially says, "I will not work with cadet corps after my term, yadda, yadda, yadda" then they been their rank after they step down, but they can‘t work with the corps anymore.
I‘ll look a little more into the technical aspect, but I believe that‘s the way it was explained to me...
CH