I like stories in video games and typically pay some attention to them when they are present. However, it's not a pre-requisite for me to enjoy the game. Though a really good story and great characters does help me enjoy the game even more and give me more resolve to push thru them. If both are intriguing enough, I'll be much more amped to play thru the game (and faster as well). The more that is put into the story of the game, the more I pay attention to it. I'll also be more inclined to be critical of such with the more emphasis the game places into them. Persona 4 Golden, for instance, since it places heavy emphasis on the two and was so good, I could not get enough of the game and while it took me months to finish it due to its length, my own availability, repeats of sections and whatnot, I made damn sure to complete the game and took no serious break from playing it.