I thought that is how most ratchets work. I'm going to open my other ratchets and see how they work.
I'm not sure which ratchets you have, but I've opened up a bunch of ratchets (no snappys though) and the dual 80 looks very different. Most just have a pawl that has a couple of teeth, which fit into a couple of teeth on the main gear. They rely very heavily on a tight fit between the two. I think that is why the C-man raised panel ratchet fail so much. The fit and finish isn't very good anymore.
I've seen several fine tooth ratchets that look similar except that they only use one pawl that grips the teeth on one end of the pawl for forward and the teeth on the other end for reverse. The old school Proto's have two little "levers" that essentially function as two pawls but they are a much more crude and clunky design (very strong though). These sorta bind between the gear and ratchet body as well, which makes them really strong. I'm going by my not so good memor on this stuff so be nice.