Leptin system returns to a more optimal baseline with weight loss.
Insulin returns to a more optimal baseline by increasing insulin sensitivity. Exercise does this most effectively, loosing weight also does this. Low carb diets don't do this directly, only through weight loss.
Managing hunger is managing your dopamine response. Eating nothing but one food, will make you very bored of your food. You won't be looking for food as entertainment, stress relief, or a cure for boredom(dopamine). You will only eat for true hunger(lack of dopamine can feel similar).