In my experience, this works kinda ok, but it doesn't actually feel like being full or sated. It feels like having a full stomach but still being hungry.
The other side of that is you can feel like you need to eat despite not actually feeling hungry. I've lost a bit recently, but not often with that hole in the stomach feeling. I still often get that "I should eat something" feeling while not feeling the physical "belly empty".
Not to undermine your point, because it's a good one, but the same guidelines should apply to anything you eat, even carrots. I was losing weight and tracking "calories" very closely. I started eating carrots for exactly the reason you mention and gained two pounds that week. At my next doctor visit, she told me she's never asked this question before, but "are you orange?" I was, from carrots.
> So many diets talk about not being hungry while you are on the diet. I've been to dieticians and told them I'm hungry, and they suggest eating more protein or more fiber. That does help, but I still feel hungry.
Have you thought about eating something that just has very few calories, in order to fill you up? Carrots have barely any calories and need a fair bit of chewing. Popcorn without salt/sugar/butter as well. Diet drinks or water.
What's helped me a bit is just looking at all the calorie labels on everything to get a feel for what the cost of each item is, then using that as a kind of "is it worth it" budget. A lot of things go out the door when you do that, but surprisingly some quite nice things stay on the menu.