There is a book called, 'Eat Right for your type', and it puts forward the theory that the different blood types are tied into humans change in diet. I think O was the base, which is why it can be given to everyone, so the book says if you have O type blood the Atkins/caveman diet will work better for you.
Also before anyone tries this, a period of fast might not be a bad idea. The Atkins style diet can make you sick in a lot of ways. Even light coffee, or tea drinkers need to watch it.
Other big problem, is hunter/gatherers HUNTED. We are basically not allowed to do that any more. A rabbit/pigeion diet is not like a deer diet.