Other Member States have varying levels of training (theoretical and flying) for their military pilots. Some issue military pilot licences, others do not. Hence EASA part-FCL states that application for accreditation will have to be made to the Member State in which military training took place.
Of all the present CAA requirements, the one to me which seems totally illogical is the requirement for some CAA IRE to 'view' an IR. Which is daft; the military IR privileges (as far as non-limited Green IRs are concerned) are identical to civil IR privileges and should be accepted without any further requirements.