That's true. But most military personnel, upon hearing that some people think they are government-sanctioned killers, will not automatically believe that they are government-sanctioned killers (unless, perhaps, they already had a lot of doubts about their service in the military).

If someone tells me I'm a sinner doomed to hell for sleeping with women, I wouldn't feel less happy and more ashamed about my being queer--I'd feel frustration that people couldn't accept my happiness at being queer without trying to heap shame on me externally.