First of all, in my experience the perceived recoil is not linear. A shooter, that doesn't pay close attention to recoil, will perceive recoil as "nothing" up to a point where it starts to annoy them very fast. And before annoyance, recoil will affect POI etc. for everybody but very few experienced shots. If you don't find recoil unpleasant, it doesn't mean it won't affect your shooting. Regardless of flinch.
A rifle (+shooter) is not a "closed system" where recoil starts when bullet exits the muzzle. But the powder gases willl contribute to recoil at that point, and the average velocity is far greater than bullet. IIRC Vihtavuori used to quote 2000m/s for average when gases are erupting at the muzzle. Of course the velocity differs with 16" or 28" barrel.
Just about only way to compare YOUR perception of recoil between two different rifles, in two different chamberings, and firing two different loads would be to try it out. Please remember that 126gr load in 8mm might not be able to achieve same penetration etc. as 200gr 8mm or 123gr 6.5mm.