To be honest, i thought he was BSing too..... so i went to the state DNR website....
"The collection of firewood is prohibited on state park and reservoir properties. It shall be unlawful to injure, cut, destroy, remove, mutilate, or deface any building structure, sign, rock, tree, shrub, vine or property whatsoever, or pick any flower or take or rifle the nest of any bird or den, nest or abode of any wildlife animal or to climb or rappel on land subject to the regulations in 312-IAC 8-2-10."