Use the national ID that surely has a digital DB, and make the check against those, which unless some corrupt officials has edit rights to, won't allow those simple bypasses.
Or you have a ID issued by France, and you'll use that.
Besides, heavily depends on how the verification services implement their checks. Whenever I (Spanish resident, Swedish citizen) end up having to do verification checks for some EU/Spanish service, they usually have more or less every type of ID I could have been using available.