It's interesting because the approach of encouraging your kid to foster highly specific skills fails to satisfy the categorical imperative: if everybody did it, nothing would work. Or at least it seems that way... it's probably a safe bet that having a sizable majority of adolescents who are somewhat flexible/aimless and can respond to a variety of market demands in terms of career specialization is a good thing if not a necessary one.
On the other hand, manipulating (not to be taken with a necessary pejorative connotation) a child into this kind of specialization is almost certainly a necessary precondition for greatness. If you aren't a competent musician by the time you're 8 years old it is vanishingly unlikely you are ever going to be a true orchestral soloist. Ditto for something like chess. So if we want a world with those heights of greatness in it, we need to accept that some people are going to compel or allow their kids to be specialists rather than generalists.