I recall reading a metastudy of EU studies about 10 years ago, where they focused on three different diet classes: calorie counting, low carb, high protein.

Calorie counting diets had no restrictions on what they ate, as long as the participants didn't exceed the calorie target.

Low carb (Atkins) had no calorie restriction but had to restrict carbs.

High protein also didn't have calorie restriction but participants had to ensure at least 20% of the calories in meals were proteins.

They found that while all helped people lose weight, only the high-protein made it stick reliably.

I used that as basis for my own weight loss and it worked very well for me. As you said it made me full in a different way. YMMV.