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|One of the brown wires on mine came loose at one time and the alternator stopped working until I plugged it back in. So it seems to be necessary. I think the reason for the second wire is the connectors rather than the wires themselves. The resistance of even a fairly clean connector of the type on these alternators is much higher than that of the short length of wire between the alternator and the battery.
When I first bought my car, it had an older, non-Lucas alternator. I had to get it rebuilt every year or two until I got smart and replaced it. So I think the guys at Jensen knew they had a reliability problem.