FRC is a sport because it uses your mind. Your mind is getting a workout, it doesnt entirely have to be a physical type of activity. Its strategy, thats what makes it a sport because without strategy in baseball, football, golf, cross country, and etc there would be no way to win the game. I think its a sport because like other sports you cheer and get adrenaline running through you and we do compete. Heck, when I write software my hands shake with adrenaline.
Robotics is a sport no if, ands, or buts about it.