It's correct that the fungus does not contain LSD the chemical, but it does contain lysergic acid which is colloquially LSD the drug. For a short, layman-targeted article I'm inclined to give the US Forest Service a pass on this one.
The chemical differences between "lysergic acid" and LSD areas significant as the differences between morphine and heroin, if not more so. Pure lysergic acid is closer to LSA, which is still categorically not the same thing as LSD - to the point that many people will refuse to take the former when a test kit reveals they got that as opposed to the latter. They are not colloquially equivalent.