Convenience is great, and the idea of a cigarette lighter jump starter is about as convenient as it gets. No one wants to fiddle with dirty jumper cables in the freezing cold to start their car, so why not jump start it from the inside? The problem is, you can’t, at least not in the way you’d probably want to.
Jump start your car with jumper cables in your car! 12v Power Port cigarette lighter
The simplest thing is that you can't start a car from the cigarette lighter — at least not according to the traditional definition of the term.
When you jump start a car, the car with the dead battery draws a huge amount of amps from the car with the good battery, which goes directly to the starter motor. When you jump start a car, the same huge amount of amps takes place between the jumper cables and your car.
If you tried to run that much amp through your cigarette lighter, nothing good would happen.