They pump sand up onto the beach every winter.
I noticed that hunting for old bottles in the tidewater where I grew up, and some of the most miserable weather (windy, cold, reverse storm surge, spring low tides) was the best for finding 'stuff'.
You're right, but the height of the sea wall doesn't change. And it's the same level now that's it's been for years. I made the point about the width of the beach because the loons crying sea level rise point to beach erosion as proof of their claim.