sport - an athletic activity requiring skill or physical prowess and often of a competitive nature, as racing, baseball, tennis, golf, bowling, wrestling, boxing, hunting, fishing, etc.
If you tell me that activity that only requires skill and no physical prowess is not a sport, then table tennis, pool, golf, etc cannot be called sports?
The "promoting healthy" is utter bullshit. Every pro is singing about how they like to go to the gym and how it helps develop their skill. Furthermore, videogames prevent a plenty of mental diseases, such as Alzheimer's.