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I think FitD is more about bouncing off a world that already exists outside your characters, and PbtA is more about building out a world around the characters as move results tell you things about it.  There are other differences that mostly amount to sliders of "actor vs director" and other such meta-game concepts, but the nature of the setting and the players'/characters' place in it is a big one.

this is a really great and interesting point! it feels like a lot of the fanfare of blades is the setting, but now that you mention this, the responsibilities a player has to the story/world/characters directly feeds into that.