I don't see the dice taking anything from anyone at the table when comes to the narrative. I understand that some folks feel like the dice will be limiting their roleplaying in some way and that they will be telling the story for them. But really, dice are always telling the story in an RPG that uses dice. That's what they are there for, to be that random element that determines above all other elements in which direction the story is about to flow. I LIKE that about dice. Sure the narrative or color is still in the hands of the players, but the dice are always deciding what is about to happen. Once you turn to the dice you put the direction of the "story" in the hands of fate, its always been that way.
This dice system it seems will be offering a few more pieces of information to the narrative, but they're not going to be taking your roleplaying from you. They will be helping determine which aspects of the currently unfolding narrative are thrust to front and center, and you get to respond accordingly as a player.