My family never had a hand thrower. I had the "Squad Version" that bolted to a tire.
I kept an acre and a half area mowed like a lawn for "Activities", baseball, soccer, Frisbee, archery, and Clays. The kids grew up with lots to do living in the country. Once the oldest was 14, all three of our boys had single shot 20 gauges. We would take turns throwing singles and sometimes doubles out back. We usually limited sessions to one box of ammo er person, with a total of 6 of us that was the limit! Then I got a MEC 600 Jr, reloader for 20 and 12. The sessions with the boys became 2 or 3 boxes each. The oldest and youngest sons and one nephew started shooting sporting clays at the club. After a few weeks of being on a squad with my brother and I, we let them go off with other squads. I had so many men come up and ask how they behaved so well when unsupervised? I would say "Just like us, if you don't follow the rules, you can't play!" We did that with everything in their lives.
The boys carried Browning O/U shotguns when shooting Sporting Clays. When done for the day, they went to the clubs cleaning area, cleaned and cased the guns, then went and had other fun! I had one guy complain that my kids used too good of guns for children. I told him that if you give a kid a piece of junk and tell them they are only worth junk, then they will treat it like JUNK! Given them as good as you can afford, and they will treat it SPECIAL.
My kids are all grown and with kids of their own. They have been teaching their kids to shoot rifles and shotguns (and doing pretty well). But they still talk about shooting at the club, and breaking birds that the adults missed (that includes them outshooting me!)
Ivan