Just as a counterpoint, the area burning man is held in is one of the most ecologically inert places you could go. There’s no vegetation and the only life to speak of is brine shrimp eggs, which are about as threatened as mosquito larvae.
There’s still a lot of trash that gets left behind which can travel with wind, but as far as impact on the land goes, it’s likely significantly less invasive than your local county fair. There’s just nothing out there for them to damage.