The theme implies what you want it to, and to say that the theme, "connections", has no implications towards story is an odd take. In any case, the ratings cover various elements of games. Yeah, not all games will make each of them an emphasis - welcome to game development. Plenty of deep-story games will not make use of innovative mechanics and likely will not score well there. A dystopian horror game with an emphasis on isolation and loneliness may not have much, if any music. And just because a game has a really creative mechanic, it might not be fun, or attractive to look at, or have good sound design. The art is in doing something well, making it fun and appealing, and gaining a reputation for that. Going into this with the idea that it's only fair if the categories apply equally to all games is setting yourself up for disappointment. Focus on the ratings you get for the elements you emphasize in your game.