Can body fat keep you cool?

After learning a little about eating disorders, I learned that high school wrestlers will constantly spit to lose their water weight, but then I started to think. Fat is made up of oxygen, carbon, and water right? So would your body break down the fat you store into water for you to cool yourself through perspiration and deposit the carbon as waste? After all a camel's hump is fat and they can go a while without water so I'm wondering if this would work for humans, not like it's a good idea.