Accidentally pro-ana?

Just a question: has anybody else noticed that people who are recovering from anorexia frequently get terrible acne all over their faces? I haven't known many anorexics, but the ones I did know, their skin was fine until they started eating again, and then they got major acne. I did a Google search for "anorexia acne correlation" but only got that sometimes people become anorexic because they have terrible acne. Has this really never been studied? I feel like it should have been - everyone's always going on about how you live longer on a calorie-restricted diet, so someone must have noticed that restricting calories affects skin. Or did I imagine it? Maybe it's just that you're not supposed to go up to a recovering anorexic and say, "Oh, I'm glad you're feeling better, sweetie, but your skin used to be so much better..."