So I am an advocate of low carb but I know plenty of people who have used slimming world, or weight watchers or any other diet to lose weight. I have seen though people being really negative regards low carb diets and I don't get it.
When you understand how your body deals with different nutrients it because clear that all diets need to lower insulin. How you do this is up to you but ultimately all weight loss diets do it.
When insulin is elevated then you can't burn much fat and instead rely on mostly burning sugar from your diet. If you want to burn mostly fat from your fat cells your insulin needs to be lowered.
People say eat less move more without understanding that for someone who is insulin resistant this is really hard. The body cells stop responding to insulin so stop taking up sugar from the blood. This effectively means the cells feel like they are 'starving' as they can't get enough sugar and this drives hunger signals. It also makes the person feel lethargic and lacking in energy, so exercise is harder.
You can reduce insulin levels by fasting, reducing carbs in the diet, reducing consumption of refined carbohydrates, cutting calories etc but the key is your insulin.