If your primary macro consumption is fat, your body will enter a state of ketosis burning fat instead of glucose. As long as your calorie intake of fat is less than your basal metabolism corrected by some factor, you will lose weight and feel satiated - you do not need to follow a calories restriction. Believe me - I tried both ways and the ketogenic diet never left hungry - always satiated.
I'm aware of how keto works. In fad diets focused on composition, short run WL is typical followed by stagnation. What's one going to do when they stop losing weight, eat negative carbs?
> you do not need to follow a calories restriction.
Weight loss comes down to energy balance. People tend to consume fewer calories at the outset when going low-fat or low-carb (in large part because protein is afforded a higher fraction, and it is more satiating), but clearly that does not mean that you'll always have a caloric deficit. Eventually, you'll need to reduce intake to continue losing weight.