Anamorphic lenses normally have a 2X squeeze; the 35mm anamorphic aperture is approx. 1.20 : 1 -- since the image will have a 2X squeeze, when unsqueezed by being doubled in width horizontally by the anamorphic projector lens, it becomes a nearly 2.40 : 1 image (often called "2.35".)
Trouble with putting an anamorphic lens on a 16mm camera is that a 2X squeeze is too much. On a 1.33 : 1 regular 16mm camera, the unsqueezed image is 2.66 : 1. So on the wider gate of a Super-16 camera, which is 1.68 : 1, a 2X anamorphic lens will create a 3.36 : 1 image.
In other words, if you intend to blow this up to 35mm anamorphic for CinemaScope projection, you will end up having to crop the sides of the anamorphic Super-16 image from 3.36 to 2.40. This isn't much better than just shooting Super-16 with normal spherical lenses and framing it for cropping vertically to 2.40. Either way, you're wasting some negative, but it's easier to use regular lenses than anamorphic lenses.
Plus you'll have problems finding anamorphic lenses with short enough focal lengths for Super-16/16mm. The wider-angle 35mm anamorphic lenses generally start in the 35mm to 40mm range, which are not very wide-angle on a 16mm camera.
Any of the modern Super-16 cameras can take good images if they are well-maintained and you use good lenses and good film stock and expose it well. By "modern" I mean the Aatons and the Arri-SR's. The newer cameras are the Aaton XTR-Prod and the Arri-SR3, but the latest, state-of-the-art Super-16 camera is the new Arri-416.
However, a new Arri-416 and new Zeiss Ultra or Master primes or Cooke S4 prime lenses are as expensive to buy as most 35mm equipment.