Apple Considers This a Word Game: Choices: Stories You Play
Choices: Stories You Play iTunes Listing
Choices: Stories You Play is the mobile gaming equivalent of reading a Choose Your Own Adventure book. You play through a story and make choices to control the direction the story takes.
The only way Choices: Stories You Play could qualify as a word game is that the stories you play have words in them. By that logic almost every adventure and role-playing game in the App Store would be classified as word games. This game belongs in the adventure game section of the App Store.