So all the variables in the equations you provided will be constants in the example I gave, other than MV... is there an expected difference in MV with a larger diameter bullet of the same mass with the same powder charge? (Less bearing surface or something?)
If I understand you correctly....the bullet weight, powder charge and rifle weight are all identical. The only difference is the caliber (diameter) of the bullet. Your question is, does the diameter of the bullet have an effect on expected muzzle velocity. Which would subsequently effect the recoil energy and velocity.
I'm not sure how that would be determined, other than shooting across a chronograph. If there is a difference, I'd imagine that it'd be slight and most likely indistinguishable by the shooter.
More important are the factors of perceived recoil, which are mostly related to stock design along with cartridge design (e.g. shoulder angle).
The calculations have been most valuable to me while comparing different cartridges, bullet weights and rifle weights.....to a cartridge/bullet/rifle weight that I've already been shooting and am familiar with the amount of recoil.
In other words, does the increased recoil energy / velocity justify the incremental increase in terminal ballistics at practical hunting ranges for the new cartridge / bullet combination that I'm considering. Or, if I increased / decreased my rifle weight by a pound. What effect would that have on recoil?
I tend to think of all of this as just one consideration out of many that go into selecting the proper cartridge/bullet/rifle.