Appropriate, since at the end of the day the story relies on Booker being a character apart from the player.
Part of the reason why the 'choices' were all faux.
I don't disagree, but it creates a gulf between gameplay/interactivity and story. The gameplay alone would not be enough to hold up the game, and there are better mediums to tell a good story. I think if story is going to be the strongest part of a game, then the game needs some way to tie the player's actions into that story.