I've seen single-element meniscus lenses in two common orientations: convex forward, in front of the shutter/aperture, and convex toward the film behind the shutter/aperture. The latter, in my experience, tends to give "better" images -- a flatter focus field, less aberrations. Some cameras with the latter setup have a simple flat cover glass in front of the shutter (Brownie Hawkeye), others don't (Ansco Jr. and many other cardboard box cameras).
My belief is that those with the lens mounted convex forward, in front of the shutter/aperture, were made so in order to sell better, because consumers were comforted by being able to see the lens -- and at f/11 to f/16 it doesn't make a huge difference in image quality, just more focus falloff at the corners.
I've also got a camera that was close to this class, the Speedex Jr., a 6x6 folder with 2-3 aperture settings, one shutter speed plus B, and fixed focus -- that has
two meniscus lenses, one in each of the classic positions. This would have raised the price a bit compared to the common box camera lens, as would the folding configuration -- but the combination takes the camera up the ladder a rung or two. The images are very good: count the bricks in a wall at a block away, identify the species of climbing plant from leaf shape at the same distance.
Speedex Jr., Portra 400.