A friend of mine, then aged about 40, suffered from chronic bursitis. He went from one doctor to another without ever achieving any lasting improvement. After several years, he was persuaded to try acupuncture, which he didn’t believe in, just as he didn’t believe in homeopathy or any other “alternative” medicine. Acupuncture worked. It cured his bursitis.
I have never known personally anyone who tried reflexology treatment, but what from what I’ve been told about it , it seems to be in the same category as acupuncture – that is, you’re not required to “believe” in any theoretical explanations. You’re just treated by a reflexologist, and either it works or it doesn’t. Just as when you have a headache you take an aspirin, and either it works or it doesn’t. You don’t have to “believe” in anything, you just have to swallow a pill.