Yes, the expanding gasses generate pressure, which is what pushes the bullet down the barrel. But no, I'm not really over complicating it. The "recoil" is the sum total of the pressure applied rearward to the gun for the entire time it is in the barrel. So for a powder that generates 29k psi for 75% of the time in the barrel, there will be more total recoil (and higher velocity) than for a powder that generates 32k psi for 25% of the time in the barrel.
Higher MAX pressure does NOT mean more total recoil. Higher AVERAGE recoil would.
Higher MAX pressure does NOT mean more total recoil. Higher AVERAGE recoil would.