Silly of him. He doesn't need to show her he's an idiot, that was well established by that point.
In other news, Etta calling Wonder Woman "the Chief" delights me in ways I'm hard-pressed to explain. The way Wondy and the sorority girls occupy this weird nebulous space between "Man's World Amazon army" and "band of madcap rogues" and appear to exist completely independent of any actual academic establishment in any way is just so entertainingly cracky.