Getting this 2-D result is actually achievable! Arguably via black magic, but still...
Extrudes are valid objects for the Wall Closure Object, and you can create a zero-thickness one by extruding a line, OR, you can stick zero-thickness bits off of it by extruding a collection of rectangles and lines. Any parts of the "wall blob" exterior to the exterior-most face of the wall closure object get offset by the exterior profile offset, and any parts of the "wall blob" interior to the interior-most face of the wall closure object get offset by the interior profile offset. Finally, the closure object is subtracted from the "wall blob".
To manipulate VW into doing what you want, you need to a zero-thickness face extending far enough to "stop" that component from wrapping, but there can't be any solid behind it (because you don't want it subtracted from that inner component. It's probably easier to look at the later picture to see what I mean.
View of the closure object:
This strategy won't work to get all four edges wrapping (because VW won't make an extrude if the rectangle and line don't share a plane, and solid additions aren't allowed as closure objects). However, if the rectangle isn't necessary, you could get this on top/bottom/left/right with a properly-extruded line.