Congratulations to you, Not-Quite-Anon!!
I think you've touched on some incredibly important points here. That obsessive-compulsive perfectionism is actually a trait that was exhibited in my disorder. I was tested for attention deficit disorder amongst many things, but I believe most Eating Disorder sufferers have some degree of methodical thinking to the point of sequential obsession!
I personally suffer from what is called "Overachiever's Offset"-style Eating Disorder - it's where, in your pursuit of endlessly pursuing and achieving your goals, when you've reached a point you have no goals left to strive for, you offset your daily goals onto arbitrary things. Drawing 100 cartoons in one day. Making 1000 cupcakes. It doesn't matter; you set yourself an insanely lofty, random goal, and you relentlessly set out to achieve it. It's autonomous, mechanical, but it's by no means the sign of a madman; I was told that I have an IQ of 151 at my last cognitive test, and that I have a "cognitive axis defect" which means I literally cannot find a stopping point, punctuation, an end point, to whatever I begin to research, assess, analyse or undertake. When you throw calories, exercise and eating restriction into the equation.... well, that's a vicious concoction.
What I'm getting at is that you've successfully illustrated that eating disorders are quite often nothing to do with the process of eating, obsession with food, or vanity; in fact they rarely are completely down to that. Most often they are due to an inherent feeling of emptiness, a lack of feeling of control, or a nature of strict competition.
We welcome you wholeheartedly and wish you love and luck on a scale only we, of unstoppable minds and perfectionist nature, can ply you without breaking a sweat! *High Fives!!*