The terms here get kinda vague and smushy. I wouldn't necessarily call cannabis psychedelic, but i would call it a hallucinogenic. And very high doses of weed, especially edibles will give you closed eye visuals and auditory hallucinations. It's certainly not the same as LSD, but it's not entirely separate either.
Unless perhaps you've got other problems, cannabis certainly is not hallucinogenic at any sensible dose, even for edibles (which I use daily in combination with flower).
I've been discussing therapeutic use of cannabis here, not huge "recreational" doses.