No, Kodak's main competition for the Argus C4 would probably be the Signet 35, as the C4 and the Signet 35 were introduced in the early 1950's. The Kodak 35 RF, on the other hand, was introduced in the early 1940's. This is about the same time as the Argus C3 became available (however, the C2 was available before that). As time passed, Kodak updated the Kodak 35 RF with coated lenses and a flash sync'd shutter. When you compare the differences between the Argus C3, Kodak 35 RF, Argus C4, and Signet 35, it is pretty easy to see which ones were meant to compete with one another.
So if you are comparing the Kodak 35 RF to the Argus C4, you must take into account that the Kodak design is quite a bit older. Try cleaning that Kodak of yours up, as you might be surprised by the results. I've had some surprising results with one when I tested it out, and it had the Anastar lens. Some say the Anastigmat Special is sharper (however, this lens is uncoated as far as I know). Contrary to popular opinion, many Kodak lenses were pretty good. If you need some help on how clean the lens in your Kodak, let me know.
Edit: I just read a previous post you made about your camera, so I understand a little more of your problem. However, as I stated before, I personally have had good results with one of these.