I read nothing into the slogan other then a very bad choice of words. Yes, the superiors should have stopped this.
I have no problems with policemen doing their job. In fact, most policemen in the major city where I live have served their country on active duty or serve in the Guard or Reserve.
While politically incorrect, I would rather have criminals with PTSD then either our law enforcement officers and/or our military.
Good for you. Please let us know what you find out.