Well, I disagree on the Kids part. Last thing I would do is give a Kidd a .410 and expect them to hit much. A .410 is something to be used by accomplished shooters that know how to shoot.
I disagree with you..... I learned to shoot with a .410 break-neck. Yeah, I missed a lot, but after learning to shoot and kill things with that gun, it was easy once I graduated to a 12 gauge. It also made me learn to hunt.... had to get closer to kill things. Taught me be patient, learned through trial and error how to stalk, how to judge distance, etc. All in all, I think it made me a better hunter. Teaching a kid how to kill a deer at 100 yds or more with a rifle, doesn't teach them much. Teaching them how to kill a deer at 25 yds or less with a shotgun requires a lot more skill. I'm not saying a shotgun wont kill game at distances beyond 25 yds, but if you kill a deer at that range, you did several things right.
