The white wire will only have a fraction of the turns the blue wire gets around the core.
It is about 6 volts per pulse while the blue is much higher, like 60 or 70. ( I forget) There are two separate windings on the coils with a white wire. The more turns around, the higher the voltage induced by the magnet. The white wire won't have enough juice to fire the CDI.
I posted this just so folks get an idea of the electrical function, so they can troubleshoot more easily.