I'm familiar with the method you describe for assembly. It's a beautiful self lining, no raw edges on either side and you can trim the lining pieces back to account for turn of cloth on the pieces so you end up with matching contour. I just wish there was a short hand name for that method! It's not a sandwich, but it's modified to look like a sandwich when completed.
Modified sandwich method maybe? That assumes that the sandwich method is gold standard, but it's a start! LOL