What I have experienced about recoil is, weight mitigates. The sks has more parts at rest that absorb that inertia pushing back. The ak also flexes and bends a bit more than the sks.
Watching the video, I would suggest leaning into the rifle a little more. Push your right shoulder into the rifle. Are you able to hold the ak to your shoulder without your support hand? Try changing a magazine leaving the rifle at ready (shouldered) only using your support hand. While doing so pay attention to right hand and shoulder contact with the rifle. It shouldn't really move. You should also be able to perform all the actions for a mag change without rotating the rifle.
I am only bringing this up because this has helped me settle the rifle into my shoulder per se. It has changed my stance when shooting too. My head is not bent over the rifle anymore and my right hand makes a trinity of contacts. Hand, shoulder, and cheek weld. My shoulder was the main change as it is more forward pushing the ak forward. You won't be as upright and it is a little more unnatural but when shooting it makes up for it. Faster follow up shots and less felt abuse to me.
I have not had much experience with compensators, but I have recently installed a bmc comp on my 308 and I will let you know if it made a difference.