Then why did he deny shooting anyone?
Touche ! I'm not an expert on assassins... but I believe that they usually are proud of their deed, because they have assassinated a person whom they viewed as a evil person and a threat to society. ( Which, BTW is exactly how the conspirators that assassinated JFK thought, but they also thought that JFK had abandoned them at BOP and they wanted revenge)
Lee Oswald never ever showed any sign that he as happy that JFK had been assassinated.... In fact, he became choked up when the reporters enlightened him that JFK had been murdered....By asking him if he had shot the President. He nearly lost his stoic composure and the police immediately hustled him out of the room.