Watch the video again. The truck is moving at maybe 15 mph. Then speeds up a shit ton. Then the police are chasing the vehicle. I guess they knew at that point that there might be explosives in the back, but that raises the question why not shoot the tires? lol. Nobody is going to seriously ask that though in the wake of all of this. I just try to make sense of what I am seeing. If the truck is driving on rims, some people might of seen sparks or heard it skidding on rims. So yes it probably would have helped.
Try driving without tires and see if your car goes as fast as it normally would lol.