Did a little bit more research. It seems that Toyota uses a 5V reference circuit for sensors for many of its vehicles (like many other manufacturers). Not sure if that also applies to the LC platform, but it probably is a good guess.
That means that you should read +5V between the pins of outside air temperature sensors with the sensor unplugged. Maybe also when plugged in, but that is difficult to know without knowing the circuit diagram of the A/C control system.
Verifying the +5V would be a quick way to see if the A/C control amplifier is at least up and running.
This is worth watching, for those of you who want to know more about sensor grounds and reference voltages:
^^^^^
Agree with this route. Well thought out. Would eliminate a large portion of the circuitry being the issue.