There is only one class of medicine in the world, and is scientific. Your attempt to frame science-based medicine as a racial or cultural property ("Western") lies at the root of your reasoning fallacies: you reinterpret comparison between industrialized and tribal humans as cultural/racial, regardless of whether race or culture has anything to do with it. The superiority of empirical medicine is not cultural hegemony. The life-saving knowledge of microbe theory and hygiene is not a religious belief that be can relativized with shamanist "healing."
what is considered scientific is very often defined by culture though.
I bet those tribes consider their shamans scientists, even though they won't pass our western scientific criteria.
"The American National Center for Complementary and Alternative Medicine (NCCAM) cites examples including naturopathy, chiropractic medicine, herbalism, traditional CHINESE MEDICINE, Ayurveda, meditation, yoga, biofeedback, hypnosis, homeopathy, acupuncture, and nutritional-based therapies, in addition to a range of other practices."
Capitalization for emphasis.