Digressing slightly into solid fuel stoves. The British Army is experimenting with a new one for the crusader cook kit, called the FlexiStove.
It's not made from sheet metal, but some layered stitched together material. Packs flat, and when pull it open forms like a shelf for the tab to sit on. And the whole crusader mug drops down into it, effectively making a windshield.
One advantage seems to be it doesn't hold heat for long, so can pack it away soon after use.