I think both of you overestimate yourselves. Not all cops are as you describe. Maybe you know the crappy ones that don't care, or they have issues they don't want to discuss which affects their shooting.
The fundamentals ARE important, but I think some people refuse to practice them or listen to the instructions.
Shooting head shots at the 15 yard line isn't hard at all. I can do that all day. Going a year w/o shooting only made you more careful and focused.
All I'm saying is please don't generalize the LEO's. I also want to reiterate that the luxury of taking more time at the range rests with those that don't have as much on their plate as the LEO's.