The owners manual that I got with my '81, is for a 79-80 model year bike, this connector is not on the wiring diagram .
Just got home from work, checked the wiring diagram from the '84 LS, it shows the connector and also on the page that describes what each numbered item on the wiring diagram is, it says the two wire connector is for an additional voltmeter indicator .
It taps off of the wire going to the front brake switch .
From the looks of it, the two wires go to a voltmeter and clock .
29 years of owning this bike, I'm still learning things about it .
This connector could also be used for a GPS unit, don't have to run a wire from the battery .