1967 Barracuda center console wiring
The white and blue wires on the harness were probably configured during assembly for adaption to the location of the reverse light switch.
I'm guessing if the switch was on the column, they got the plastic connector circled here.
With a manual transmission mounted switch, they were plugged into the firewall multi-connector.
As pointed out, the white wire is power feed. It's hot whenever the key is in run or accessory. Blue or violet goes from the switch to the lamps.
So for an automatic, the white wire from the wiper switch goes to the connector.
The connector goes to the switch harness.
The violet (wich is more blue on my car) goes to the body harness connector behind the left kick panel.