My original point was that the low glycemic diet is not the same at low carb diets.
You're right. Those things are not allowed on a low carb diet, which is why I prefer the low-glycemic index diet.
I can't lose fat on a diet with too much "low glycemic" carbohydrate, neither can most people who are overweight in any amount.
"Low glycemic" diets like south beach are still just calorie restricted diets at the end of the day.
Dietary ketosis on the other hand doesn't work that way. By not providing carbohydrate in large amounts, the body uses the next most easily available form of energy - not dietary fat, but body fat.