"The voltage IS a little less than 9 volts after the ballast resistor. It is also 6 volts at the points!"
In 100 words or less: if 9 volts from the 12v coil to the points becomes 6 volts at the points, what does the 6v coil to points become in volts?
Presumably, there would a similar reduction in voltage? If not, why not?