It doesn't allow people to work anywhere else than in France. The "Schengen" part of it (which basically any national residence permit contains) just allows hol

It doesn't allow people to work anywhere else than in France. The "Schengen" part of it (which basically any national residence permit contains) just allows holders to freely travel to the rest of Schengen for up to 90 days in each 180 day period but not perform any paid work in other countries (something which citizens of some countries – including the US – already enjoy without any visa).