From my time in the RAF, what I remember is the RAF Regiment always seeming to try and distance themselves from the rest of the RAF. Always (unjustifiably in my view) considered themselves to be some sort of elite, both above the RAF as a whole and also other units of the British military.
I guess if they said it to themselves enough times, they would start to believe their own hype.
Without the GBAD role, I really wonder what their future is. If as someone earlier suggested, their current strength is around 1,800, is that really sustainable? Seems very small.