Early A body Fuel Gauge Instrument Cluster Question.

I don't know about the copper tab you speak about but The author of the article mixed up the wires for input and output. The heavy gauge wire should be input and the light gauge wire (4 volts) the output.
The wires are in the correct positions. In reality the wire size doesn't need to be any more substantial that the copper trace on the board. In many cases the copper trace has burned away, served as fusible link. Routing the switched 12 volt directly to the outboard regulator makes the burned open trace a non issue also.