A few employers might care, but I'm sure you can find plenty that will still hire you. In fact if you can turn it into a story of personal learning and improvement, you might get hired over other guys.
I have a friend who crashed a banner towing plane. He balled it up after the line got wrapped around the rudder during pick up, and he was lucky to get out.
He was a captain at my former employer on Lears and Falcons and now he's at NetJets.