It would lead to a lot of problems where I'm from, just one state north of you. Best case scenario is the coach thinks you're a coward. Worst case is he acts on it, leading to all kinds of other problems, drama, ejections, etc.
I was deployed with a guy who grew up just a few hours from me. At the time, he outranked me (but I got promoted while we were there and matched him). He started a HUUUUUGE ordeal with one of my subordinates because my subordinate wouldn't look him in the eye. It almost got physical, and I had to take sworn statements, etc. and make a report to the Commanding General.
My subordinate was hispanic, and in their culture, making direct eye contact is seen as a challenge or threat. So in my subordinate's mind, he was being respectful of the guy's rank. But based on the values where we were raised, in the eyes of this other officer my subordinate was committing the ultimate act of disrespect.
You have to know your audience.