No real argument with what cordex said, I'd just add that the average gun owner isn't empowered by the state to use their gun to shoot criminals in public. Since LEO's are, and are sent into situations where firearm use is much more likely than for an "average gun owner", I think we should require better of them, and we demonstrably don't.
For perspective, I shoot quite a bit and practice running, shooting, drawing and reloading handguns on the range more than the vast majority of "average gun owners", but I'm not particularly great with a pistol. I recently took an intermediate pistol course and just barely passed the standards at the end. I have work to do before going to the next level.
Standards: 1 "Bill Drill": draw from holster, 6 rounds on target, A-zone only, 7 yards, less than 4 sec.
1 "3+3": Draw from holster, shoot 3 rounds to slide lock, reload, shoot three more rounds, A-zone only, 7 yards, less than 6 sec.
1 "Medium range" Draw and fire 3 rounds, A-zone only, 10 yards, 3.5 sec
1 "Long range" Draw and fire 3 rounds, A-zone only, 26 yards, 5 sec
1 "El Presidente" variant" 7 yards, 2 rounds per target, A-zone only, 6 sec.
Any misses fail the whole thing. You get one try at each drill.
I couldn't do that cold, but after a day of training to warm up I got them all. It's not unreasonable in my mind that someone carrying a pistol in public, with the authority of the government, be at least that good. Intermediate pistol level. And I don't think your average cop is anywhere near that good based on my shooting with them at their ranges. I suspect the SWAT guys cordex shoots with could knock it out with no real difficulty.
For that matter your average cop that I shoot with (SWAT excluded) would have a hard time passing the Army's expert pistol qual, which is laughably easy but requires moving and reloading.