Some of what they are counting as “rise” is simple erosion.
There, fixed it.
IIRC the Outer Banks are the ancient coastline of the area now known as North Carolina.
Which means the Pamlico Sound was once dry land long before modern man trod the shores of North America.
The Outer Banks are mostly made up of sand and as such have been growing and receding for years. The sand is washed away then piled back up then washed away then piled back up. Same thing happens in Virginia Beach to the North. Lately the sand has been washing away and not getting piled back up.
Its not that sea levels are rising there but the currents are just washing away the sand.
Other than tidal effects, especially from storms, the average water level around the planet DOES NOT CHANGE.
It is the ground which moves up and down.