I'm assuming that your talking of cadet staff with no military experience, not those that are ex-services, who would be eligible by virtue of previous service?
In my opinion - no.
Any leadership on the flying side needs to deal with the MAA, and I would say that only people who have been immersed in the Military Flying world would be suitable, which would preclude pretty much anyone who isn't ex-RAF.
As an organisation, we could become very insular and incestuous, if we allowed volunteers to apply for all of the senior leadership posts.
Now, if you were arguing for FTRS to be allocated a post on a squadron, and put it in their contract that they parade at least two nights a month, well, then I would agree with that!