Oh!!!
Why didn't you say?
No problem:
The Two Meshes Solution is it.
No Complex Profile here.
Outer Mesh - to be the sweeping wall shape:
solid mesh - magic wand to circle.
Create inner ellipse with a uniform wall thickness band.
[Use wall tool to get uniform perimeter, then delete walls]
Cut mesh hole to inside ellipse.
Elevate mesh to height
MAgic wand contour at outer ellipse
Elevate mesh contour to match inner ellipse height.
Now you have a solid mesh with an elliptical hole in it.
Inner mesh to cut and hide:
Make a second mesh inside the first mesh.
SEO Subtract down.
Dwight Atkinson