There is no such thing as the scientific method. What you're thinking of (presumably something Popperian) is not how science is really done. A lot of science is pig-headedly ignoring evidence which tells you a theory is wrong. Sometimes that works itself out and you get a better theory (see Einstein). Other times it doesn't.

Look, the purpose of medicine is to make people healthy. Definitions of 'healthy' are different for different cultures and social groups at different times. Western scientific medicine is only one approach for one kind of culture, and it often does more harm than good.

Furthermore, western scientific medicine often ignores procedures and knowledge coming from non-western sources which, when translated into scientific language, turn out to be correct within the WSM framework.

edit: formatting