I have a lot of experience with LSD and I think it was a contributing factor to developing adrenal fatigue. It is long-lasting, very stimulating and it encourages you to push past your normal limits and it mutes the body's natural 'crash' and exaustion signals, inviting you to exceed them.
I think it can give very valuable insights to healthy people with strong adrenals if used rarely and in natural, daytime settings. But I do not recommend abusing it repeatedly, using it as a 'party drug' or stimulant.