I'm putting a 5 digit GMT Franken together with bezel parts from different vendors and ran into similar issues with poor movement and click sounds. The gen 16610 and 16710 bezel assemblies are identical except for the tip of the click, which has a 90° angle bend on the GMT to allow two way rotation.
No one has mentioned if the RAF assembly includes the bezel tension ring, the large thin washer that sits on top of the retaining ring. I tried some different things to improve my bezel firmness - using a thicker tension ring, bending the click to put more resistance on the bezel inside teeth, etc.
On a whim I tried using a second bezel tension ring. It did the trick and the bezel firmness and sound are much improved. Note that doing this can make snapping the bezel onto the retaining ring additionally challenging. In my case the insert was out of the bezel so I could easily situate the two washers and reposition the click perfectly. After everything was in place and working well I snapped the insert home.
I've put a lot of these together, first time I ever used two washers. If the RAF doesn't come with even one, or even if it does, adding one could be attempted as a solution.