If this thread was about divorce settlements, I would be more inclined to agree with you. Alas, it is not. Child support is not a get rich quick scheme. If this money isn't used for the children, and their schooling or whatever was listed by the attorneys he can sue her. I'm sure the school has receipts, cell phone bills have summaries, nannies, drivers, stylists etc all have salaries that have to be paid.
Now, the reason why I asked if you had any of those things is because THEY DO AND HAVE BEEN ACCUSTOMED to all of those things. So, because they are used to having all of those things afforded to them by their parents it would be negligent for them to be cut off out of spite. If the mother or father has never cooked a meal in their natural born life, and they're (children) used to either nannies or chefs preparing their meals, then that has to be upheld. It should not stop because their parents have decided to part ways.
realistically, if they are accustomed to those amenities, they should be with the parent who can provide them. it's still unrealistic, because we all know children dont require that kind of money monthly.