You may also have a bad connection upstream from the coil causing voltage to drop across it once some current is drawn.
With the symptoms you describe, I would maybe check the voltage coming out of the ignition switch to the switched fuse, but also check the 12 volt feed coming into the ignition switch as well. Perhaps there is hot joint at the solenoid stud, or a worn out contact in the ignition switch. In a nut shell the idea is to trace the low voltage upstream until you find the joint where it goes from 13(ish) volts to 10 volts with the COIL CONNECTED AS USUAL. It needs current draw to cause a voltage drop you see.
Also check the connections at the fuse block as well, they need to be nice and tight and clean.
Don't concern yourself with the ballasted coils, they are where a resistor is switched into circuit once the car is started to reduce the current draw to the coil and hence the spark intensity.
_________________ SooperDooperMiniCooperExpertEngineering
All garage work involves equal measures of enthusiasm, ingenuity and a fair degree of irresponsibility.
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