I'm pretty sure China nowadays allows religious freedom, but only to state-approved religious organizations. I think (based on personal experience) the majority are Buddhist/Taoist to some extent, which the government can't really regulate. For an example of China cracking down on religious groups, google "Falun Gong".
I hate to admit China's authoritarian bullshit is ever a good thing, but in the case of Falun Gong, it is. It's an actively harmful scam, sort of a Chinese Scientology. Of course, China still encourages the practice of Chinese medicine as an actual science...
A lot of the people in my family take Chinese medicine, and they get better. The Chinese herbal stuff cures my coughs and soothes throat way better than a lot of the western sugary cough medicine and cough drops. Tastes nice too. IMO, anything where you take a treatment and it makes you better is valid
Would that "herbal stuff" happen to contain tea? Because tea contains caffeine, and caffeine gets metabolized into several extremely effective antitussive chemicals. Chinese medicine is not science, it's folk remedies with a lot of bullshit sprinkled on top. Which, as it turns out,
sometimes actually do shit, for actual reasons, which, it should be noted, will
always be something other than what the folk remedy claims, if it even bothers with an attempt at explanation beyond "yeah, this totally works sometimes and shit". In those cases where folk medicine works to a greater degree than just giving someone something foul tasting and telling them it'll cure them,
there is an actual, medical explanation (technically, the "just give them something and tell them it'll help" thing is also an actual medical explanation...), that is either known, or could be understood with study. Western medical science is the study of that. Chinese medical "science" is "this is what ancestor did, he say it work, do this", only given status and equal treatment as
actual science.
Although saying "western medicine doesn't work because an essentially unregulated drug that's intended to sooth the effects of a generally uncurable but short lived disease is less pleasant than a hot drink containing more effective antitussives (that can also be found in about 99% of normal drinks in the US...)" is rather silly regardless.
I find hard liquor and strong coffee do the trick personally, can't stand even mild doses of DXM, and the alcohol is a hell of a lot healthier than the acetaminophen in the cough medicine (both attack the liver, the medicine given to children more aggressively...
).