Atkins talks at some length (not a great length, but some) about this issue and sites a number of studies and also some pretty common practice for treating certain disorders in children via an LC approach.

It is becoming widely acknowledged that children going on diets is not a particularly good thing because it robs their bodies of the dietary protein and fat they need to grow and mature. Guess what types of "diets" are being referred to in that statement?

If anything, children benefit the most from an LC WOL because a high carb (especially if the sugar and fats are not controlled) leads to the generation of fat cells that the person will have for the rest of their life.