To be honest, this is the first I've ever heard someone say not all sports are games.
I would not use the term game for the Olympic marathon.
I wonder if the Olympic marathon is included in the Olympic Games.
Or for that matter, where the phrase "let the games begin" came from.
Aren’t you one of those who dismissed the relevance of the views of the International Olympic Committee because of their bias? Of course the marathon is a game within Olympic Games, just as they have acknowledged chess as a sport. But their bias is only dismissed in the second case, not the first.
What about the definition of games? Does that matter here?
Isn't every sport just a game?
Yes. Every sport is just a game. But not every game is a sport.