Head coach... or not...

[DesMoines]

Last weekend I had a G JV/V doubleheader at a school where I had never worked. Both partners had worked there before, but I hadn't and didn't know the coaches. Before the JV game, the Varsity head coach (as it turns out) walks across the floor to shake hands with us. We hadn't done captains yet, so I asked him if he was head coach for this game too, or just the next. He said, almost insulted, no... it's her. Pointed at his assistant. She attended the meeting. Great.
3 minutes into the game, I look over and he's on the bench next to her yelling for a time out. I look at both of them. Okay, fine, time out.
Checked with partners. Didn't he tell us he wasn't the head coach? Yep.
So after the time out, I asked him/stated, "I'm confused. Which one of you is the head coach and which is the assistant? Because before the game, you said you weren't. I don't care, I just need to know which one of you to ignore." (I did say it with a smile.)
COACH: It's me.
ME: Great. Thanks coach.

Have you had a coach try to do this? Have you handled it differently? Would you?