I agree with all of this except
"Your comments about a longer barrel will give higher velocity and less muzzle flip counteract each other. Muzzle flip or jump is simply a product of the amount of energy put into a rifle system. Longer barrel means more velocity, more velocity means more recoil energy, more recoil energy means more muzzle flip unless controlled in some manner."
I'm not 100% sure that velocity gained by having a longer barrel would increase recoil or muzzle jump. It's potentially the exact same powder charge, weight bullet etc. My thought is the added weight from the longer barrel would reduce perceived recoil. I'd be curious for someone who is more educated on physics to explain that one in depth.