You've just let slip your actual grasp and understanding of what goes on, haven't you?
Virtually none at all.
As for pilots being managers: it's an ability to comprehend the whole business. Many of those who reach the top demonstrate leadership in very demanding conditions. Some even have had the opportunity to do whilst in the highest personal danger, which, in the RAF, most other branches do not.
They also tend to be the high achieving types too. Having had personal experience of the last two CAS I think they have chosen very well.
On the subject of why we don't have SNCO pilots? It would be a retrograde step. CRM and "cockpit gradient" issues have killed enough people (across aviation, medicine and god knows how many other industries) without artificially introducing a another, larger element of rank gradient at the same time.