I bought a new SA85M in 1996 and kept it until about 4 years ago. One reason I sold it was I never could hit shit with it. I also had bought an AMD65 that I had to work on quite a while for various reasons including the stupid 2-piece 'barrel extension' broke loose and was drooping. I replaced that with the great Tapco one-piece extension. The sights were canted on the damn thing too which didn't help. Eventually I took off the rear sight blade, installed a cantilevered rail that extends back over the action cover and a small SIG red-dot sight. The object of the cantilevered rail and small sight is to allow sighting while keeping one's head down. Might be on a 2-way some day, you never know.
Anyway, I took it to the 25 yd range and centered it 1" low, which should be a 50 yd zero. Then I went to the 50 yd range and took my first shot. Checking it with the binoculars, I saw that it was in the 3" bull I had prepared, on the horizontal centerline but about 1/2" right. I unloaded the gun and left. I use GT FMJ and HP.
So with the AK, assuming a genuine military chrome-lined barrel in excellent condition, I think you're getting 'barrel whip' with the 16" but much less with the 10" to 12". You can clearly see it in slo-mo movies all over You Tube. Also, as you mentioned, on a traditional AK there is no place to mount a scope or dot sight. I improved my AR shooting the same way, taking off the carry handles and putting on good dot sights. I guess with my old eyes, the dot sight allows for more accuracy.