An interesting observation and one that is incredibly more likely to be true in an incredibly high percentage of cases.
Of course, if "The Other Guy" shoots first it's also likely to be true.
BTW, my observation is that the average "Bad Guy With A Gun" is highly likely to be a really crappy shot whose chance of hitting the broadside of a barn is dependent on whether or not they are inside the barn or not.
Most bad guy shooting is at VERY close range - a few feet. Hard to miss. But at any distance, sure. So are most police. Pistol range shooting has very limited value as in most real life situations a person is doing no-aiming impulse shooting and in a sudden panic situation, possibly while moving too.
For my practice shooting with a handgun, I only do "impulse" shooting - to just lift the pistol or revolver and start firing pointing towards the target but no taking a stance or really aiming down the sights. Home defense (and service) pistols/revolvers all have Crimson Trace instant on laser grips - the bullets go where the red dot is. Otherwise I am a very pitiful shot with a handgun, even if carefully aiming. A shotgun is a different matter, I'm dead on with those. If time, the home defense gun is a double barrel 12 gauge "coach" gun (short barrels but within legal minimum).
For modern pistols/revolvers, I load them alternatively with ordinary cone ammo (for penetration) and man-stoppers (basically slicers - hollow points that also have somewhat like wires that come out on impact) for maximum tissue diameter damage.
For the shotgun I keep changing around. For home defense one barrel will be loaded with a bean bag or bird shot, and the other with AA - but 5 more shells in a stock holder - slugs and AA. The reason is if there is the slightest doubt who I'm shooting and why, I'd fire the bean bag first. At the range of a few feet they hit hard and of course the terror of a shotgun blast at the person. If certain it is a life threatening situation I can first fire the AA or fire it as my second round if the person is still coming. I NEVER miss with a shotgun for some reason and beyond the better sighting with a longer barrel or pellet spread - which will be minimal at short range.
If in the brush or otherwise outdoors, the bean bag (or bird shot) is replaced with a slug. My real danger is unlikely a human, but hogs - with an extremely unlikelihood of a black bear. A hog can charge out of palmettos at 20 mph only a few feet away. You have maybe 2 seconds to react - and try to stop it before it ripped up the main artery in your leg and then just keeps on tearing you up. Extremely life threatening and lethal. VERY hard to stop even hitting it point blank with both barrels unless you get the brain of upper spine. I wrote about my experience with this earlier on this thread.
I like lasers and double 12 gauges also for their fear factor. I would rather scare someone enough to not have to shoot. Shining a laser on a pistol at night outdoors to concerning sounds would scare off any sane person. There is something about a short 12 double barrel with hammer locks that is particularly intimidating - particularly if pointed at you. Because my distant path, I have great confidence in an old fashioned double barrel hammer locks short barrel coach gun.
They say no gun has "knockdown" power, only possibly stopping power. I'm confident if a bad guy is hit chest center with a 12 slug and AA buck shot - he's instantly going down and not coming back up. The impact force is greater than hitting him chest center full force with a sledge hammer.
But again, I desire NOT to shoot anyone, if I do, my goal will be defense, not to kill the person, nor do I believe every shot has to be a kill shot based upon circumstances.
