While I admire your analysis, the one thing that is missing is the real world statistics.
Keep in mind the only one shot stopper out thee is a 120mm round from an Abraham's tank! Yea, maybe 20mm, but people have been hit with 50 caliber and kept functioning. Basically it means that there is no guarantee of a one shot stop with anything (and or until the person dies they can keep trying to kill you)
Basically, once modern self defense ammunition became available, the 9mm has moved up to be as lethal as the 357 sig, the 40 S&W and the 45 ACP.
I have done extensive reading not on gelatin, or velocity or ft lbs of energy, but on what actually resutls when people start shooting.
Real world shooting says 9mm is equally as effective as an7y of the other calibers when used modern ammunition (hollow points self defense type, like Golden Saber, Hornady XTP etc).
Usually it take multiple hits to stop someone.
Now, I cannot say that 9mm is as good because all the details make no difference in penetrating, expansion and all that, or if its the fact that you can be more accurate and your follow up shot its more effective while the others go off target (statical average not each fight).
What I can say is there is zero end result in gun fights when you take them as a whole between 9mm and the other calibers. Zero.
So, I will take 9mm. It carries more, it has less recoil, it cost less to shoot and therefore practice.
One thing to consider. Statistic are average. So they include the lousy gun handlers, those that do not practice at all and those who do.
When I was riding my motorcycle, I always ran with a headlight on bright, I wore the best gear I could guy, I did not ride in town much, I was always stone sober and I paid strict attention.
In other words, you can leverage your individual odds by taking all the factors under YOUR control and changing YOUR odds though melding them into 10s of thousand you will not see it.
I feel the same way about the 9mm. I practice a lot (love to target shoot). I practice DA with SA, I do rapid fire as well as target shooting. I use the laser and the iron sights. I think about and plan my home defense situation and where and how I will fight int he house if I have to.
Like the cycle, there are situations that nothing was going to save me as things can alighn such that you are simply toast.
Same with a gun fight. You do the best you can to make sure the factors that change the odds in your favor have been done and the rest is up to fate.