For every study you find that promotes the no-carb diet, I can show you one that shows no difference if the calories counts are the same:
[Wikipedia, I'm too tired to look up the individual source, but it's cited right there in the article]
"In a comparison study by Dansinger and colleagues (2005), the goal was to compare popular diets like Atkins, Ornish, Weight Watchers, and Zone for the amount of weight lost and a heart disease risk reduction. In the study there were 247 individuals and it lasted for 1 year. All the subjects were overweight at baseline, and had an increased risk for cardiac diseases. One of the diets was assigned to each person.
[52] The Atkins diet group ate 20g of CHO (carbohydrate) a day, with a gradual increase toward 50 g daily. But according to Table 2 of the study, increased to well over 130g after the second month and up do 190g by the sixth month. At this point, the Atkins diet group were eating carbohydrates equivalent to the other three groups. The Zone group ate a 40-30-30 % diet of carbohydrates, fats and proteins respectively. The Weight Watchers group was to keep the "points" of their food in a determined range, based on their weight. The Ornish group ate a vegetarian diet with 10% of calories coming from fats. The weight, waist size, blood pressure, and a blood sample were taken, at the beginning, after 2 months, 6 months and 12 months. All four diets resulted in weight loss with no significant difference between the diets.
[52]"