Yes they do I've seen them in Great Bay before. This one today was "flying under the radar" because it wasn't on any of my marine tracking sites. Last I saw it was meandering towards Saba.
Many many moons ago when we were on the Holland America Westerdam (a Dutch flagged ship) we were escorted out of Philipsburg harbor by a Dutch frigate HNLMS Van Amstel . I do not know why they were there but we got some lovely video and pictures of the encounter. The many men onboard came up on deck and waved goodbye to us. It was wonderful.
I'm all good with the military cruising our shores!! Makes me feel safe!!! A few years ago a huge bundle of pot washed up on Simpson bay beach between the bus and BSV!!! God knows what criminals where out there doing!! Last or so November we saw the Dutch coastguard on maneuvers . They left the base( by the bridge), made there way on the beach to the south end and where in the water, full gear in front of BSV!! Super impressive. They climbed out of the water and high stepped back to the base!! SOAKED in FULL GEAR!!