Lighting problem

The hazard switch would cause the 18W wire from the brake light switch to go dead when plugged in and the pedal depressed?

No, but it will block the power from the white wire going through the switch to the brake lights, and this used to be a failure point.

I can remember a couple of "poor" sailers both had B body cars with a column mounted hazard switch, and the TS switch went bad--no brake lights.

I used to be able to cut the hazard knob off (disable the switch) and make a wiring change to get around the problem.

That's been a LOOOOONNNGGG time ago, don't remember anymore how I did that

So what I'm saying is two things:

Having the turn signal switch off center will disable one brake light

Having a failed signal switch can cause loss of both brake lamps but still allow the signals to work.