A bad crank position sensor usually results in a jeep that will sometimes die while driving or just not start at all. I’m not saying it couldn’t come back to life as you described, just that I’ve never seen/heard about it.
I guess I thought if the CKS was bad what actually happens was it would trigger the ASD to turn off (the ASD is actually what shuts off the car in this case), and I believe it takes the key being turned to START to re-engage the ASD. So that would mean that maybe the interrupt is short enough that the ASD doesn’t shut everything down before the CKS returns to good order? I’m just thinking out loud.