In response to why are military personnel not allowed to wear uniform on flights from civil airports see JSP800 Passenger Travel Instructions Ch2 sect 18 para 2.2.18.012. Hence the Movers at Brize are only carrying out instructions as laid down by S02 Passenger policy DTMA. I have also seen letters from 2 major civil airports that military passengers use, saying that they do not want military personnel to wear uniform so as to reduce the military profile at these airports. Which you can understand given that these personnel could well have personal weapons if coming from Iraq or Afg. Although a hessian wrapped SA80 still looks like an SA80!! Joe public could feel a bit nervy if the guy at their check-in desk is in full military garb and SA80.
Whilst I agree with the many posts made here that we should be proud to wear our uniform in public. Our masters have dictated that this should not be at civilian airports if you are a passenger.
It could be an antiquated ruling from the past that has not been updated and they have got the civil airports to agree to this. Who knows?
So there it is in black and white like it or lump it.