This still comes all the way back to calorie restriction. If you feel more full, you eat fewer calories.
> Low carb in most cases leaves people feeling more full.
That has less to do with the carbohydrate content and almost everything to do with low carb food being physically more difficult to digest.
Fat and protein stay in your stomach longer than sugar but - and here's the point "low carb" advocates ignore - so does fiber. You can eat a diet of not-low carb, high fiber, plant-based foods and still lose weight while feeling full.
There's not enough hormone-altering magic in carbohydrates to overpower the effect of calories or the satiation of physical digestion.