The ballast effects what the ECU sees.

Page 90 of the Oct 11 Mopar Action discusses this.

What I have been saying is that the "problem" is overblown. The ECU is suppose to overheat w/o a ballast and that is not the case from my personal experience. I don't know what the tipping point is, but near endless use in high temps with no added provisiosn for airflow didn't do it. The car ran better IMO and I used the crap out of it that way.

A 12 volt coil will not see diminished output by sending 12 volts to it. It is not going to overheat.