I don't teach physics :-)
Yes if the vehicles have the same mass and the velocity is the same the effects are the same but work is force times distance and is also 1/2mv^2
I.e ps= 0.5mv^2
so the more distance you can stretch the rope through the more energy you store.
The more of this the rope is able to absorb in its elongation the longer the next effect can last.
Momentum is force times time and equals mass times velocity so pt=mv
note the force is the equal in both but it does vary as the rope gaining energy gradually slows the towing vehicle and becomes a maximum just as the towed vehicle starts to move or the towed vehicle gets pulled back because the stored energy exerts a force greater than the tractive effort of the towed vehicle, which is why you use the technique in the first place.
Sounds about right.
AJH