High Charging Rate. Found Voltage Drop Need Guidance Please

I was assuming that there would not normally be power at that connection with key off and the ignition side of the ballast disconnected. Is that correct? I will try again tomorrow with the positive batt cable off.

Correct.
So key off and that wire disconnected, would be safe.
Should be infinate resistance. Should be no connection to ground. Follow?
If not, make the sketch and we'll work from there.