Ditto, the votes are still out on that regulator black wire.
Daniel, there's a couple of tests I'd like you to try. They measure the voltage drops, directly, between the battery and regulator.
If you study the torturous wiring paths from the battery to various things, there's wire segments, crimp connections, connector plugs, fuses, all in the paths, and each contributes to the overall resistance in each path. The regulator's brown power connection is near the end of the brown wire's path, and is subject to voltage drops from all the devices between it and the battery.
What you're going to test is voltage drops between the battery and the regulator connectors. Super-easy on the 70-71s, since the regulator connector is right next to the battery, as seen in Angus's pic:
With the engine running,
1- Connect voltmeter (+) lead to battery (+),
Connect voltmeter (-) lead to regulator brown, on the reg side of the connector.
Observe voltages at idle and above,
Cycle various things on/off during this (headlight, signals, stop, horn).
In an ideal world, the voltage drops would be less than 0.2 volts.
An acceptable drop would be less than 0.5 volts.
Any drops above 2 volts warrant immediate attention.
2. Connect voltmeter (-) lead to battery (-),
Connect voltmeter (+) lead to regulator black, on the reg side of the connector.
Observe voltages at idle and above, same as above.