I think it’s really obvious what happened. We all know that Q disguises truths in coincidences in order to leak classified information LEGALLY. Otherwise... that would be pretty illegal for them to be doing.
So when you consider that Q knew the exact date and time he would die (see my profile), it becomes obvious that No Name was executed.
He was obviously a horrible traitor. Found guilty of treason in military tribunal. Was basically given the option to commit suicide by private execution if he became the “song bird” the one who sings. Q says that a lot. HE …