My "thin" lenses are still almost a centimeter thick at the edges and that's with small diameter glasses. They distort the look of my face so much that someone looking at me while I'm wearing them sees not just beady eyes but the sides of my head in the glasses. (For the curious, my contact prescription is -9.5 diopters.)
Maybe your "thin" lenses are not as thin as you think. My contact prescription is -8.5 and -10.5 and my glasses (also small diameter) are about
.5 cm at the thickest point of the edge.
