One that receives very little attention at other times of the year. For most police officers, their duty weapon is something they're obligated to wear, and they rarely (if ever) discharge it outside of quals. It's a miniscule part of their life, so they don't seek advanced or recurrent training beyond what the department requires of them at their academy. They don't go to the range unless they're ordered to, and don't read books, magazines, or websites about safety and marksmanship. Their gun is just another tool they're required to wear on their belt.

For the average yahoo gun nut, their guns are for frequent recreation and potential protection. They often seek out formal training above and beyond what their state may require. They practice firing their guns on target with live ammunition many times throughout the year, and take personal pride in their marksmanship. This isn't an obligation for them -- it's a valued skill and pastime in its own right.

So yeah, I'd say the average yahoo gun nut is better trained, despite not being trained by The State.