"osteopath"
Osteopathy from a Chinese point of view is quite wide. It includes the ideas you mentioned: Tui-na, An-Mo, and Die Da. It also includes Jie-Gu (bone setting), several other modalities of soft tissue manipulation, herbal plasters & linaments, and chiropractic-like treatments.
Japanese "Judo-Medicine" is pretty similar, and is actually covered by health insurance in Japan (whereas acupuncture is not!).
Regardless, all these mediums of treatment rely on the same philosophical and theoretical foundations as Chinese medicine that acupuncture and herbal therapy.
JK-
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