I wont do anything but oly squats, half is un-natural. Look up baby squat in google image. If you really wanted to be specific in the weights room you would be doing a 1-8th squat, or even higher. Then you would never get stronger which is the point of squats.
Also, no matter what you do in the weight-room the muscle contraction time (if thats the term) is always so much slower than sprints and jumps. Which is why speed sets with weights are pointless.