Simnet, used by the US Army to train crew in Armor and Helicopter tactics is a SIM. Steel beasts is a game.
A F16/ 15 and whatever else they design a simulator to train crew is a sim, it's not a game just like falcon 1,2,3,4 is not a sim, they are GAMES. Same for MS flight sim, Crimson Skies, AW and AH.
To say that a game can be used to rain folks doesn't make that a sim either. I used an old Apple 2C with a "panzer" game to help illustrate actions after contact ans give my LT's experiance in calling in sit reps and artillery. It didn't make that game a sim either.