I’ll give him the benefit of the doubt and assume he with his adrenaline going during the chase saw a mean looking dog and got scared. Natural reaction but not acceptable. People allowed to be peace officers empowered with deadly force need to be cool under pressure or find a new job. I wonder if his trigger finger would have been so itchy if it was a 12 year old kid with a BB gun.
If he is as you describe he belongs on the other side of the bars.