I don't know what High School gym is like these days, but "back in the day" there were always a couple of guys who didn't shower and just sprayed deodorant on their sweaty bodies before dressing instead. To me, the smell coming from them was actually worse than if they had used no deodorant at all.
To me, scent elimination is the number one priority. Anything after that comes in a distant second. Oh, and my favorite cover scent? Marlboro Lights.