Left side brake woes

I had similar issue once with '73 Dodge truck, tail light and brake light wiring had gotten crossed up.

Do you remember where they were crossed up?

Almost sounds like internal problem with the wire. Load light it and see.

I'm not familiar with a load light, but I did use jumpers right at the kick panel connector and got the lamp to light up, no flasher though.

I just tried energizing the green wire at the kick panel connector with the connector plugged in and it lit the right side brake lamp.