Earlier quoted context omitted.
I think you've got the definition of homeopathy incorrect. I checked wikipedia and it says, "Homeopathy or homoeopathy is a pseudoscientific system of alternative medicine." It does mean pseudoscience, specifically medicine, just like your association with it. As far as I can tell from on the usage of based I've seen, it means cringe/unpleasant/racist (depending on context).
Wikipedia is not a dictionary. It mentions that homeopathy is a pseudoscience because it would be a glaring omission for an encyclopedia if it didn’t. Homeopathy is a medical system that works as I described above, and it just so happens that it’s totally junk as well. Its usage in the context of those that practice homeopathy is not the definition that describes it as being bunk. Similarly, “based” is used to mean t…
Words have multiple meanings. Clearly based is one of them.