I shall reiterate: The correct application of the hip-drive model entails assuming the correct back angle and knee position for the bottom of the squat by the time you're about half-way down, and holding it as constant as possible until you get back to that position on the way back up.
Nearly constant: the initiation of the movement out of the bottom with the hips will look like a very small change in back angle as the hips lead out of the hole. This is actually produced with a very slight knee extension.
Hip-bone's connected to the knee-bone, as it were, and if the hip comes up a little, the knee will have moved back, a little. This slight knee extension is essentially a quadriceps contraction, an obviously important part of the squat, but you think about it proximally even as it is a distal action.
Thinking about leading straight up with hips instead of thinking about extending the knees is the important thing going on in the lifter's mind that keeps the motion from turning into a good morning, which happens sometimes when the lifter moves hips back instead of up, and the knees have extended excessively.