But interactors can only act within the possibilities that have been established by the writing and programming
I agree with this statement, and I believe that the player doesn't have any of the power as an author. Even if a game is very interactive and the player is making a lot of their own choices that lead to different outcomes, those are all still things that were put into the game by the developers. Because of this, the player is still just following the rules set by the developers, but they have more autonomy in which path they want to take.