Yes I would. The reason is there are some things I did not do when I was younger. While I enjoyed the chance to play and do things that other kids do, I wanted to be able to be on television, like on the Mickey Mouse club. I have the talent, but my parents said no, and I just would have love the chance to prove it.
You said that a child does not have to work. True, but for me, If I have been given a chance to do that, it would have been an extention of play for me, because I enjoyed my dance classes and my music lessons. These are things I asked to do, not made to do, and there is a difference.