I'm interested in more info. on this topic, as well. After pregnancy, c-section, weight loss...I have a flap. And the thinner I am, the more flap I have. I sweat under the flap and it's really uncomfortable.
I know in some cases of significant weight loss that insurance will cover this procedure, in much the same way that breast reductions are often covered (mine was). If the primary goal of the procedure is function and not aesthetics, then it's deemed reconstructive, not cosmetic.