I agree with you. While I'm proud that folks have seen in me a certain discipline or bearing of some sort, and I'm proud to have had a career in LE, I'd never for a moment let someone believe I was something I was not.
There was an older gentleman that lived about a half mile from me that would see me and my Weimaraner out each morning for a walk. One day he asked me if I was retired from the military and I asked him why. He said because I appeared to walk very erect with a straight back and good posture. (Which is kind of funny because my father always bitched about the way I'd sit slumped on the couch.) I immediately told him that I'd have been proud to have served in the military but never had. LE was the closest I had come.
To each his own but once I'm lied to I can forgive but never quite forget. It's a much worse character flaw imho than many folks give it credit for.