The momentum theory also fails to explain why the .357 magnum picked up such a great street reputation for stopping power. It was around for a long time, but the reputation was made when the 125 grain load came out. Momentum theory says the best stopping power will be the heavier bullet and this has not proven true with the .357.
You must remember that this was with this nice 6"+ barrel lengths. The snubbies out now can't hit that 1600-1700+fps with the 125 grain loads. Also the bullet design is different than that of the slightly smaller 9mm (.357 vs .355) bfd as far as the diameter is concerned but the 9mm is more of a "pointy" bullet while the .357's tend to be more open and flat like that of the 45. Even the hollow points in the .357's have much more of an opening than that of the 9mm.
There is some magic that happens with a .357 somewhere above the 1500+fps range in the 125 grain load in regards to human sized targets. I am sure that if you take the different barrel lengths you would see that the "magic" just does not happen in the shorter barrels. This is why my .357 is my BUG mostly and NOT my primary.
Regarding the .357 and snubbies I believe that the 158 grain load is the most effective, with one minor exception, that being the DPX 125 grain load from Corbon. The Barnes bullets, although lighter weights, tend to have deeper penetration than the same load in grain weight of any other hollow point.
In addition I would like to throw out that I don't know of ANY other caliber that can give anywhere near the performance of a 45acp in an AUTO with a 3-5" barrel running anywhere close to the low pressures that it produces. Albeit, the 5" barrels are still optimal but they still perform quite well even in the micro compacts.
Some other similar things happen like when you look at the 45-70 vs the 454 casull in a 10" revolver. The ballistics being very similar but the 45-70 runs at half the pressures and significantly less recoil.
Low pressure rounds recoil with more of "push" faster powders and higher pressure equate into a "snappy" recoil, my neighbor whom I finally got to buy a gun, liked my 45 but wanted less recoil. So he bought a 40 without firing it first. He can hit the 10 ring no problem with any of my 45s but when it came to the 40 he was hitting the dirt at 7 yards in anticipation of the recoil. He was quite disappointed. So why is that? I can't explain THAT much of a change from one gun/caliber to the next. I tried helping but it only got him on paper.
45's seem more of a push and a whoomp than a crack and snap. I am just saying that to each his own, but the 45 is by far a "weak" cartridge. Ask anyone if the 45-70 is "weak" and see if you get any people saying it is.
Slow and low pressure does not equal poor performance. It can actually aid in the handing and control of the weapon.
As to exercises while firing, the best practice at hitting moving targets is to take your 1911 out and go bunny hunting