Why track and field events not games? They have rules, can be won or lost, and can be played casually if you think that is a requirment.
Take shot put, hammer throw, and javelin, for example. The game is who can throw the object in a certain way the furtherest. I could play a shot put game with some friends at a river bank by drawing a line in the sand and seeing who can huck the heaviest rock on the shore the furthest.
There’s a reason they call them Olympic Games.
Really any activity with some structure is a game if it is play and not “real”, even better if it can help practice a skill useful in life. There is a difference between a running race (a game) and running for your life from a bear (not a game). Between MMA and a street fight. Between war games and a shooting war.
The rules are quite loose? Why else would they have eagle eyed officials watching closely to disqualify athletes for infractions.
Games can absolutely be played asynchronously. Games can have scoring systems instead of head-to-head.
Would you say pinball is not a game?
I didn’t think I needed to get out the dictionary definition of game, but I hope this clears it up… Definitions from Oxford Languages: “noun, a form of play or sport, especially a competitive one played according to rules and decided by skill, strength, or luck.”