No, I'm not arguing against eating until satiety. That's fine. I'm specifically arguing against feeling "somewhat hungry all the time". That sounds bad and definitely not what I feel as a thin person and not an expectation I would have of fat people. I wouldn't even describe my satiety as feeling a little hungry. I just feel not-hungry, not-full, and I've been thin all my life so I think I understand what it's like to be thin and eat as a thin person.
The Hippocrates quote literally says remaining a little hungry. Now you may think that's a bad time, but my point is that it may be because how you define well being. The point is there are other frameworks to think about that. And that people have been doing so for a long, long time.