I suspect that the curvature is subject to contractor discretion but the depth is probably specified. What you are seeing is the footer so I suspect that the wall itself is probably block, reinforced and filled with concrete. Not bad but the only reason that Pedro's and the original SSBB are still there is because they were poured concrete. As designed, the depth probably looked good but as of today maybe not so much. Job 1 for a sea wall is not to let the water get under it.