There's still a major difference in purpose, mindset, training, hardware and the legal framing. Soldiers doing police work within a COIN doctrine is not quite the same and the perception isn't seamless : Those duties are only temporary and everyone knows it in whatever theater. The line being blurred, and it is right now, is bad news to everyone and firstly citizens of stable states with some rule of law.
Speaking of which, the drive for french reserve called upon now are specifically police and gendarmerie reserves.