Low battery not dead battery.
The cars made in the last 25 years or so have a protection mode that shut things down and prevent start if the battery gets too low. This prevents the battery from getting seriously depleted and and excessive high current when you try to start it. The Jump Start Packs have just enough capacity to over come the protection mode. The couple of seconds of cranking is to prevent damage to the Jump Start Pack when dealing with a problem it was not designed for, which is a seriously depleted battery.
This is why you don't need to let the battery charge for 30 minutes before cranking like we did with the electro-mechanicl controlled cars. How many jumper cables did you fry on a electro-mechanicl car before you learned to let it charge before cranking?






