Didn't seem to work. I think the American people, except for those who don't like any war that is started by a Republican, understand that in any war, there will be soldiers who are killed by their own because of identification problems in the heat of battle, or for many different reasons. It is sad, just as it is when soldiers are killed in any battle, but it doesn't make the overall effort any less noble.
While I greatly admired Tillman's decision to join the Army and the unfortunate events that led to his death by friendly fire; I sometimes wonder if a Tillman screw-up led to his own death. He was an overly aggressive football player, but being overly aggressive in a fire fight can get you killed.
I can't think of any other reason the Army would have tried to conceal the truth about his death, other than to protect his family from learning that he died because of his own actions.