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By holding the stock against your shoulder, you are doing a couple of things.
First of all, you are actually keeping it from accelerating to full recoil velocity by starting to absorb the recoil momentum immediately.
With the gun unrestrained, it will accelerate to full recoil velocity and then all of that momentum must be absorbed.
The calculations above assumes that the rifle achieves full recoil velocity, but that's not going to happen if the rifle is being significantly restrained right from the moment of firing.
Second, impacts are bad. By holding the gun firmly against you, the force can be absorbed over a longer distance/time by the buttpad, the give of your flesh and the give of your shoulder/torso/body without any impact. If the recoil is more of an impact against the shoulder, then it will apply more force and cause more pain. Your shoulder won't be able to give much, your torso and body won't be able to help absorb the impact as much because it's applied as a blow instead of as a push. So the flesh of your shoulder will suffer more than it otherwise would.
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