'nuther stop light question

Well, I think I may have found the issue. There is high resistance on the ground side of the brake light switch which I think would indicate the wiring in the TS switch. I have 1 ohm on the white wire at the connector on either side. AFAIK, acceptable resistance is usually .5 ohm, anything more is considered high resistance. With the key off, I read 12V at the pink feed wire on the TS connector, (4th pin) which comes from the flasher.

My idea here is that battery voltage is slightly higher when the engine is running, like 13.75-14V. I'm guessing that little bit of extra voltage is able to overcome the resistance and power the lights. I read a similar amount of resistance with the engine on but that's when the lights work. I can't really come up with another explanation.

I also thought the brake light switch might be toast, but since the lights actually work when the engine is running, that would eliminate that part of the circuit from fault. Yes? No?

Guess I'm replacing the TS switch after all?

Can anyone corroborate this idea for me?