Sorry, I'm not really following what you are saying. You mentioned that both ropes would store the same mount of energy if the pulling force was the same. However, you then mention that the smaller rope would hold less potential energy as a function of rope length. What exactly does that mean and how would it translate to extracting a stuck vehicle? I knew I should have paid more attention in physics class!
Im no physics whiz either... But to answer your question simply...
Nylon stretches a certain percentage at a given load. For instance, the ropes I use stretch 6.7% at 30% of average tensile. In short, a 20' rope will stretch more in a linear sense than a 10' rope of equal diameter. Either should store the same amount of energy given the inputs are the same, but the longer rope will release that energy slower. The shorter rope will release the energy quicker and hence not hold that energy as long as the longer rope.
Make sense?
And Geo makes a good point. The recovery gear you carry in your vehicle should be sized for your vehicle. If you get stuck and someone shows up to extract you, then you should be using your gear.