I think you've already says it all. And Sunseeker sometimes someone looking at the situation from a 'outsider' (hope that does not offend) view point can see the situation much more clearly than others.
Not being a mother myself I may be out of order commenting on this but it does seem to me that the child has been indulged all her life. It will probably be harder for the mother to set boundaries now but she really needs to try for the childs sake.
I agree that writing about it in a national newspaper will not help and could make the child live up to the reputation.
Spoiled rotten? How do you go about spoiling a child to make them rotten? The poor kid has been inconsistently parented and might be more active than most children, but she has been taught to demand material things and not been sufficiently guided to understand appropriate behaviour. That's a form of child abuse.
Sigh.....why do parents use such an outlet to say they need some support, why do journalists promote the notion that active children who haven't learned, or been given, boundaries should be demonised in public? Why not publish a story that demonstrates how parents can learn how to care for children who are challenging their abilities? It is tough sometimes, but this isn't how to make it easier!