Yes, we also need to see the amounts of water given-if that info exists in the study, and if they were supplemented according to Atkins guidelines.

It's still a very small group with what looks like a mediocre design, not to say or imply that the information is worthless. In fact, if it does not include increase in water intake and supplementation, it would impy the same thing Atkins does about the neccessity of inclusion of both with the diet.