The car is not reliant on the cam sensor and I've never heard or seen a crank sensor take out a cam sensor. If a cam sensor is left unplugged the FSM states you have a 1 in 6 chance of the car starting. My personal experience is more like 1 in 10 chance the car won't start.
I'd check the ICM/crank/cam sensor wiring as best as you can considering it's location. Also pull the crank connector back off (tough but possible with the HB still on the motor) and check to ensure none of the pins pulled back. Recently have seen this in a couple posts. Should be pcm, icm, crank to get spark. I've also seen a loose ICM connector cause this type of issue.