I've always wondered what yardstick anyone uses to measure 800 ft/lbs, 1000 ft/lbs, 1200 ft/lbs or whatever number they pick to support their favorite theory. Sounds like back-engineering their favorite prejudice to me.
Based upon shooting literally hundreds of deer with more calibers than most people ever own, I've got to say BUNK to any such numbers. It's all about ft/lbs of skill and common sense. Give just about any bullet enough penetration and land it in the right place to cause sufficient hemorage or disrupt the nervous system, and it's going to kill the deer.
There are two things at work here- One above board, and the other entirely suspicious. Above board, folks are trying to build in a margin of error for bad marksmanship, bad judgement and bad luck- a worst case scenario, if you will. The suspicious motive is the need to sell the latest jeewhizz wonder gun by playing off the insecurities of most hunters about their ability to shoot right when the chips are down.
On the practical side, it's true that you can easily kill deer with decent placement of a 22 long rifle bullet. I've seen it done out to 50 yards, though a lung shot at that range does take some tracking skill, compared to the same shot at 25 yards. Heck, here in Alaska one of the most popular polar bear guns with Alaska Natives way back when was a 22 Hornet! They don't hunt white bears now, but for killing gigantic walrus, the 223 is the favortie round. But these folks are hellacious good shots.
If even 400 ft/lbs is any kind of realistic measure of killing power for deer, how cum handgun rounds like the 44 Special and 45 Long Colt are so effective way past 50 yards with bullets down around 750 fps at the muzzle? I will acknowledge a big difference in performance between a flat-nosed bullet and one with a round nosed one, but in my personal experience you are going to have a tough time telling the difference between them and a 44 mag leaving the muzzle at 1350 or so, at least as far out as the 72 measured yards I've shot deer with a 45 LC. None of the "experts" want to give the 357 mag any legs as a deer gun, but with good bullet placement, it is a stone killer.
The most important measures I have found are foot/pounds of common sense, skill and self-restraint. Shoot enough to be able to consistently place the bullets where they belong. Learn and respect the limits on your marksmanship skills. Grow up enough to pass up marginal shots. Get out in the field and learn how to hunt and put yourself within reasonable range for you skills, while passing up marginal shots you encounter along the way.
Do all that and the size of the hole in your barrel isn't going to mean a lot between you and the deer, no matter what any Former Drip (expert) says. By the same token, if you do enough shooting to get good with a gun, you really have no reason to be afraid of a little more recoil and press your luck by using a really low-powered arm.
Can you guess the original question stomps on my sensibilities?