It says story is tailored.
Tailoring = making the sleeves shorter to fit better. Not adding a third sleeve.
So basicly, the details change but the general story stays the same. I prefer this kind of choice and result in game as much as the bigger kind (Like Mass Effect's choices besides the actual ending). Basicly: this follows the idea that TTG said: There is not one way to play the game that is, gameplay wise, better than the other.
Having endings where more people live, or where the main protagonist lives, basicly makes one ending better than the other. This was purposefully avoided by TTG as they themselves said in their video blogs. Heck, the one thing where they did make some feel better than others (ending of episode 4 and who goes with you) you already saw a lot of people rewinding and doing things to try and get as many people as possible with them. How to play it the 'best' way was completely analyzed and has become common knowledge on these forums already. Compare this to ME2: Where the ending where your entire crew survived also feels like the best and therefore most people strive to achieve it.
So yeah, the details of the story changed a lot depending on your choices. And it is in those details where the brilliance of this game is. Results are often subtle. And I love that.