/lit/ - Literature

Yes. The psychedelic experience is not supernatural, because it is an easy to attain reliable process (just drop and wait). But it is definitely spiritual in its content. In fact, superstitious spirituality is a sign that a culture is screwed up: you don't need spiritual illusion when you have spiritual reality.
(It may be possible to attain these states without psychedelics. I just went to those because they're the easiest.)