I feel like with games in particular it's harder to get more branching paths because you actually have to put a lot of work to realizing them, and these story focused games in particular never seems to have super big budgets. These games also focus a lot on presenting their story in a cinematic fashion, which also takes a lot of the budget away.
In a way big RPGs like Fallout New Vegas do a better job with the premise of these story focused games, because not only they have a bigger budget, but they usually don't put all their effort in making the presentation look good all the time. Sometimes you only get to see a character do or say something in a shoddily animated way (or only described by text) as a result of your choice, but the effort instead goes to making more possible results of your choices. I'm also thinking of classic western RPGs like the old Fallout games where the script is where the heart of the game lies, although they might not have big budgets which result a more crude-looking game.