Last I checked homeopathy was western. i think your bias towards eastern medicine would be better founded if you were to say faith healing rather than eastern. Within eastern medicine one also finds people who used early forms of experimentation to derive working cures. Examples of working medical cures include boswellia used to treat bursitis, artemisin used to treat malaria. Also both Chinese and Indians had developed anaesthetic before Europeans. Similarly the procedure of rhinoplasty was developed in India. When the British came in western surgeons studied the technique and took it back to Europe. In fact hygiene was a critical part of the ayurvedic surgeons life well before Europeans realized the importance of hygiene in surgery. Of course there are a lot bogus stuff in eastern cures as well but in the west you have stuff like homeopathy. I think the key take away is that you cannot divide by east and west. We are after all human and each culture has their own contribution to the face of the earth.