To lose weight, you need to be in calorie deficit. If you just restrict carbs without cutting calories or burning more of them, then you're just going to lose the water in your muscles from the glycogen depletion. So the weight you will lose will be water weight, not fat.
This is simply not a correct statement, Fred, and there are many empirical studies that have detailed that low carb high fat/protein diets cause weight loss without any other change to activity. If you will read them, I will do the research and provide the direct links here. Will you?
It all goes back to insulin again, and the types of calories. Carbs cause an insulin response. Some carbs cause a very muted response, others a much more direct and instantaneous one. Proteins and fat cause almost no response. If you eat foods with a high glycemic index, these foods and those you eat with them will tend to store fat. Low index foods will be burned for energy (as long as they are not eaten with high foods).
