Though, to be clear, I'm not at all suggesting that conscientious objection is cowardly, but only the fabrication thereof..
Good - I have a cousin who, during the Vietnam War, went to his draft board and registered as a conscientious objector. Then he went next door to the Army recruiting office and enlisted as a CO, with the understanding that he would be a medic. After that, he volunteered to go to Vietnam, and served two tours as a medic.