Your situation is why Marty Kendall is developing personalized Satiety plans depending on your goals and diet preferences. At a healthy weight, I still eat lowish carb but the Satiety from my diet is primarily from Protein and Fiber, watching micronutrient intake as well. https://optimisingnutrition.com/low...ety/#h-low-carb
I do not depend on fat or carbs for satiation, they are just energy, but I had to slowly work toward metabolic flexibility first. I can eat high or low fat yogurt but know, long term, if I eat FAGE 5% or add HWC to NF, I would regain weight by eating way more energy/calories and less protein. 140 cal vs 80 cal. And 14g protein vs 16 g. Instant Win.

Dr Naiman had a good explanation of what happens with the extremes of Carb or Fat Adaptation. If long term you stay VLC, "eating one blueberry" will spike your BG. At minute 39, https://youtu.be/XhhoJAY96FA?si=z-OyJ1ie4c-cQwkA