What purpose could this discussion possibly have if we are not referring to "felt recoil?" If we are referring to felt recoil then things like Decelerator pads and muzzlebrakes, do come into play... the math remains the same, but the effect is considerably different.
Therein lies the red herring! LOL
"Felt recoil" is completely subjective and has more to do with the rifle's configuration and the physique of the shooter, and how they feel the ft-lbs of recoil generated by firing of the cartridge in the rifle, and is also subject to the position that the shooter is in at the time they fire the rifle. There is no math that can reliably and concistently calculate felt recoil for every single person out there, as we are all different, and we all perceive felt recoil differently.
As also stated earlier, most people do not "feel" or notice the recoil when shooting at game, as their focus is elsewhere. But they are still subjected and influenced by the recoil in these situations. This is easily seen when you hunt with someone who is shooting a rifle that they are not comfortable with, and is easily duplicated by loading for them at the range. Watch their "flinch" at the bench when you are loading for them and they shoot. When they dry fire the unloaded rifle, they will "flinch" and it is easily seen without the effects of recoil. In the field, their "flinch" will still be there, but is mostly unnoticed as the other people there are more focused on watching the game being shot at.
But this has nothing to do with the efficiency of the cartridge's ability to turn each grain of powder into velocity and energy of the projectile. Recoil is a byproduct of the action, as is heat and noise. These other products of the combustion of gunpowder actually decrease the cartridge's efficiency. It is just physics.
I think that we all agree that recoil influences one's ability to shoot a rifle well and consistently, and that each person's recoil tolerance level is their own.
And I also believe that we all agree that there are different methods of reducing "felt recoil", some more effective than others. i.e. muzzlebrakes, recoil reducers, recoil pads, different stock configurations, etc.
I also believe that we all agree that the more powder we burn, and the larger the caliber and heavier the projectile, the more actual recoil is going to be produced.
And yes, the weight of the rifle (and even the type of action) is going to be a factor in this equation. Again, physics, and as you stated, the math remains the same for actual recoil generated.
But as Andy pointed out, these have more to do with the rifle than the cartridge's efficiency.
Yes, actual recoil is part of the discussion because TB included it in his data, and it is interesting to know, but the main discussion as per the title of the thread is "efficient hunting cartridges". And as TB stated, he started this thread to initiate discussion. If I am wrong in understanding his intent, then he can let me knnow and I will stand corrected. No offense taken. I have been wrong before. LOL And I continue to learn.
There are a number of people here with extensive experience and knowledge, just as there are many that are asking questions in order to learn. It is all good!