We got done going into Stansted from Bordeaux in a non EU reg jet last year and a good friend of mine was done in Biggin coming from the US I believe also in a non EU reg machine.
On both occasions they said they were specifically waiting for the arrival. Make your own mind up what that means but we did have the a SAFA check list and it made the process relatively simple..... relatively
Either way it does happen, but how often who knows. I know of one guy done in Le Bouget but he got done for cabotage when the french were on that war path a few years back.