I think it's actually easier to fix binge eating disorder than anorexia, because almost 3/4 of America struggles with food addiction of some kind. If you're trying to lose weight, there's so much help and so many resources available. Anorexia, though? You're starving in the land of the mobility scooter and the home of the Big Mac. What's wrong with you? People are dismissive of the idea that weight gain is as difficult for some people as weight loss is for others (and that's even when you don't have anorexia-related weight problems). On top of that, anorexics often have other mental health problems (personality disorders, PTSD, autism, OCD) that interact with the anorexia and make it even harder to treat. It's the single most deadly mental illness.
I would be far less embarrassed to be seen with Eugenia, but I'd rather Amber as a daughter because it's less likely she'll die. I don't know if Amber can be fixed, but food addiction is a much simpler psychological mechanism than the willingness to starve yourself to death so you don't have to give up an ounce of control.