One could also factor in that there would perhaps be staff available to assist with childcare while mum was at work?
I think this radical experiment has been tried before with some reasonable success?
I've never understood the point of having a child and then paying someone else to raise it. Get a dog. or maybe a fish. And no, this "radical experiment" is not reasonably successful. All best-evidence studies regarding how children turn out when left to the care of someone other than parents compared to children who have the consistent presence of a fulltime parent demonstrate the detrimental impact of outside childcare to the former.
That said, I do believe, and recent studies tend to demonstrate, that as long as one parent is home fulltime there is little, if any, difference in outcome based on whether it is the mother as oppossed to the father who is present.
ps. re: Chelsea - yes, there are exceptions, but exception is exactly what they are. And do you really think Mr. Palin is going to stay home and be a fulltime dad? Is that what he did while mommy played governor?