Many years ago, I went to an accupuncturist who was trained in China. He took a complete medical history and did some tests. Part of the medical history had to do with diet. I told him, right up front, that I'm a carnivore, I eat red meat because my body needs it, and I wasn't going to stop. He said, "Good!" because, based on his tests, I needed to eat meat. (Something about heat.) He also said that a lot of people came to him with health issues and with a predetermined idea of what Chinese medicine is about, and that they were quite shocked (especially the vegetarians) when he told them, "What you probably need is a cheeseburger." Because Chinese medicine is about achieving balance, and sometimes that's exactly what you need to achieve that balance, depending on your own, unique body and, here, a Big Mac is the quickest way to get it.
So it may not be as odd and funny as it sounds that a Big Mac would cure a headache.