As a child I used to think people who were addicted to drugs went to rehab so they could accumulate enough sober time to reverse their addictions. I think this is the general misconception about addiction -- that "clean and sober" time will cure you of your addiction, because all "addiction" was was a habit you lost control over.
This isn't the case.
Recovery is not just stopping behaviours at all. That's part of it, but only a small part.
You wouldn't just attack the symptoms of an illness and expect the illness to clear up by itself. Imagine concentrating on getting relief from terrible headaches, but not doing anything about the brain tumor that caused them, for example? If you aren't working on every aspect of your eating disorder - physical, emotional, spiritual, social, cultural, familial, you are doing the same thing.
Bad news people - the recovery journey is hard work. (And even if you don't believe in recovery, you can still be on a recovery journey. I have an idea recovery might be more of a spectrum rather than a black and white marker.)
The good news is, it's worth it and so are you.