As a veteran, I would not unless it's on your permanent record. The Navy and Air Force both appear to have letters of reprimand. I would audit your permanent record in order to see what is in it and what people are capable of viewing about your service record. Typically only legitimate legal proceedings under the UCMJ are reflected in your service record (court-martials, non-judicial punishment, etc.). With how poorly run the justice system within the military is and your inability for recourse unless it is a very severe charge, I see no reason to include it.