Look, I get where you’re coming from. I do. I have an eating disorder myself and am fat phobic in many ways (especially self directed), although I try not to let that affect how I treat fat people around me.
However I don’t believe it’s a blanket statement to say “everybody who wants to lose weight is fat phobic”. For some people who are morbidly obese, their weight crushes their joints, puts them in pain, makes it hard for them to move or breathe easily etc. For those people it’s not about “looking better” it’s about feeling better.
You can want to be healthy and still love yourself at any size. Genetics don’t intend for anyone to be 600lbs. Binge eating disorder is an equally bad eating disorder to anorexia. It just manifests in different ways.
That said, my struggle with my ED is finding ways to be more healthy without it triggering my ED. For example, exercise is good. It doesn’t have to be tied to weight loss to be good. Yet when I exercise it becomes a part of my ED and my mind thinks “good this will burn some calories” . I also want to eat a balanced diet for health reasons, because I genuinely like fruits and vegetables and being nutritionally balanced makes me feel good. However, part of me thinks “and that will also help me lose weight”.
Logic doesn’t seem to work against it sadly. Most of the time I’m much better than I used to be and am relatively healthy, but the ED doesn’t go away completely and I fear it never will.