I find it fantastic that they aren't using IK in games since it's been in 3D modelling software for something like 20 years now.
Before that, you had to use a hierarchical model. So, you move your shoulder, and your arm moves with it, and your hand moves with the arm, and your fingers move with the hand. You could do that. What you COULDN'T do is something like, put a heavy bowling ball on the figure's hand and have it weigh the hand down--the hand would move down but not move the arm with it, because the hierarchy didn't work that way. The arm would move the hand, but the hand wouldn't move the arm.
IK itself doesn't really add much more in terms of computation. It must be something about the physics engines.