When I said that it may be best to pick your battle so that you don't loose the war if you go to the next step with the battle in the long run will you win the war is the issue.
One thing that I have learned whether it comes to a supervisor of "boss", politician, inspector, AHJ, anybody that has the authority to rule over another there are those that let the power go to their heads. It's these types of people that are cause for concern. Some cover up their stupidity by exerting their authority. They are bull headed and will not listen and/or discuss view points that are contrary to their own. As the authority their knowledge is called into question which they can't handle which is and indication of an insecure individual.
But, regardless, pick your battles and look for what the long term relationship will end up to be. Will it be worth it?