I shot cowboy action for a while, and I thought that their range rules and procedures were pretty good. With that said nothing is fool proof.
My son has been hunting and shooting clays since he was 7. I drilled gun safety with him every time out, and allowed absolutely no "passes" on safe gun handling. I think that sometimes when a person takes up shooting sports later in life there is no one who feels comfortable "treating them like a child" and correcting them on minor breaches in safety/etiquette.
My daughter turned 8 last month, and just today she broke her first few clay targets with a 28 gauge pump. Whether she decides to be a shooter/hunter or not when she gets older she will at least know how to safely handle a firearm.
CHAZ