When entering Saint-Martin (Grand-Case airport) an EU ID card is accepted, whereas to exit from Sint Maarten (Juliana Airport) a passport is required.
I wonder if you would get an exit stamp at Juliana Airport if having entered at Grand-Case and thus received no entry stamp (to clarify, there is no border between Saint-Martin and Sint Maarten)?
I tried calling Juliana Airport, but none of the phone numbers on their website are in operation.