Those are the 4 properties that make a strategy game great, which is completely fine. But you're kind of proposing that the best games are strategy games, which is like saying that oil is the best painting medium.
Those aren't necessarily the same properties that can make a platformer, or narrative-driven adventure game great. Or a puzzle game. Or an FPS. And those games are great (Mario, Half-Life 2, the Monkey Island series).
In the end, everyone has their own set of properties that make the artistic mediums they enjoy "the greatest", and the same applies to games.
Those aren't necessarily the same properties that can make a platformer, or narrative-driven adventure game great. Or a puzzle game. Or an FPS. And those games are great (Mario, Half-Life 2, the Monkey Island series).
In the end, everyone has their own set of properties that make the artistic mediums they enjoy "the greatest", and the same applies to games.