I wasn’t putting them out there as exact comparisons. No one has done that with either a missile contrail or an airplane contrail. Just as examples of how fast a missile contrail can expand and distort. At about 1:40 - 1:41 there is a big break in the contrail right above the wing of the plane. It only lasts a second because he moves the camera.
But that expansion and distortion is a function of how far from the contrail you are. If you are a 2-3 miles away it is going to seem like a lot is happening within the contrail. If you are 30 miles away, it is going to seem a lot less distorted. The pictures below demostrate near to far views. How far away do you think the trail filmed in the CBS video was?
That last picture is the after affects of STS-117, which was the shuttle in the first Youtube video you linked.