I have a couple of Starlinks we use for for remote field work and film sets. The ones we have in the US (on the RV plan, so you can turn service on and off as needed) can’t be taken to international locations, even if it's an area they service. I tried to bring one to Brazil, which has Starlink everywhere, but they (Starlink) wouldn't let my service work down there or even allow me to pay for temporary service.
You also can’t "sneak" them into areas that aren’t allowed because Starlink knows exactly where you are and whether the grid you’re in is permitted.