Ironically enough, the psychedelic field sort of defies some scientific analysis, so could be construed as "anti-science". I've seen some commentary that it's difficult to test. As an example, you can't really do a double blind study with a placebo because it's obvious to everybody who got the drug.
The same could be said for a lot of drugs that have strong side effects, just one difference here is the main "side effects" are something some people consider fun. Though you could still do double-blind for comparing the effectiveness of different psychedelics, e.g comparing LSD to Psilocybin.
Double blind studies became a requirement in order to protect the people from the greed of pharmaceutica companies and their natural desire to cut corners in research.