It's definitely more surface area per volume, but a 200 vs 202 lid and a smaller hermetic seal cancels some of those losses. Sidewall is cheap aluminum wise, but you're likely right in that it's a little more aluminum. Definitely costs more to make since they do fill a little slower.
The larger diameter of the original can plus the angled transition at either end probably means same surface area of aluminium. Small diameter differences make larger circumferential changes.
Look at the indent around the opening. On the shorter can it goes from wide to narrow at the back of the tab. It's more of a straight line on the taller can