The flaps you’re seeing is an Illusion from the curve of the front and back flaps where the pin goes through. I thought the same when I looked the first time, too. I think the bottom of the bunny ear pieces are folded over to double thickness where the inner bulb clamp pieces attach, and it makes it look extra confusing.
You can see it all more clearly here:
View attachment 1894256
The curved “spring” on the bulb clamp is a separate semi-circular piece that isn’t affixed, but held on from pressure.