Sean,
I’d be surprised if the French Military are transmitting anything we would be likely to pick up, but at least they publish active times for the military low-flying zones over there!
I take it you do have Mode C/S (+Filter if you are running a transponder) enabled on your PAW Configuration and also ‘Bearingless Targets Reception’ enabled in SkyDemon/Settings/Navigation Options - (down near the bottom of the list), otherwise you won’t get alerts for Mode C or S equipped aircraft. You probably have, but worth checking.
Best Regards
Peter