It sounds just fine for mice and other animals that are covered in sebaceous glands because they are covered in hair. We aren’t, usually. The hairy bits have lots, the non hairy bits don’t. Apart from a few specialised sebaceous glands around the female nipple, the penis, labia minori, nose and some other bits.
As this effect is intended to get rid of fat, it’s worth knowing that only a fraction of sebum is triglyceride, the rest being a waxy substance. And one assumes these triglycerides are swimming around in your blood, first stop the liver, second stop the heart, then the lungs. That’s before they ever get around to finding sebaceous glands. You would get thinner, but only in a coffin. You would’t look good, either, covered in acne with greasy hair, armpits and naughty bits. For sure, fifteen pounds of fat is an awful lot to liquidise and leak out.