Revived the reverse lights -
Short version: Bad connection at reverse light switch, easily fixed.
Last weekend a buddy pointed out that the both reverse lights were dead. Went after it today. Did not suspect the bulbs or the light boards since both lamps were out.
First, verified that Fuse 16 wasn't blown. I had cleaned all of the fuse blades a few months ago, so no question of good fuse contact.
Next, using a 12V test lamp, verified power was OK to the reverse light switch wire at the (red) bulkhead fitting with ignition ON.
After this I checked the reverse light switch connections. Pulled both of the female connectors off it. Used 100grit sandpaper to the switch's male terminals to brighten them up hoping not to need a new switch. With the switch connectors back in place the reverse lamps were both back in action.
Problem solved.