Their conclusion that "Reduced-calorie diets result in clinically meaningful weight loss regardless of which macronutrients they emphasize." seems to neglect the fact that they did not assign any low-carbohydrate diets. You'd think that in a study of diets emphasizing different levels of nutrients they'd at least include one that induces ketosis.
I'm not sure that many medically qualified researchers would advocate a diet based on ketosis (a la Atkins). You can have low carb and not go that low.