The CAA does not loathe the Military.....any notion of that is pure conjecture.
However....The CAA does like to make things difficult for everyone.
You are not being picked upon...singled out...or in any way being given special treatment.
The question begged is "What difference in subject matter, standards, and course content is there between the RAF CRMI Course and the Approved CAA CRMI course?"
If the RAF would incorporate the CAA Approved material, curriculum, and Standards.....add in the RAF materials that is different....and undertake gaining CAA approval for their course....it would seem problem solved.