Let's see if I can make sense. Ha! In the attached photo from left to right... the numbers are the resolution (number of facets) of the source circle that I used to make that object and the knurl.
100 was way too fine for the knurl, but great for the smooth parts. So ALL the smooth parts are 100 facets.
40 was cool, but the knurl is just too big.
50 worked very well, but there's a spiral 'look' on the real world knurl I'm attempting to duplicate on this model. So I tried doing a 'Twist' on it, which is very close to what I'm after, just not perfect. If I can't get it any better than that, I'll live with it, I guess. But I don't think it's the best it could be.
I'd try to 'Shear' it and see if that would make the knurl a diamond shape, but 'Sheer' deform is only available in Animation Workspace and it's not a good way to model things, seems like. Seems imprecise to me. I may not understand how to do it correctly. I just wish I could Sheer the object and investigate if that would work.
I can try to do this whole thing using a diamond shape for the initial knurl. That would make the knurl seem to have a spiral look. In fact, I did try that. It got difficult to manage the stitching. I'm going to try that again right now.