AIUI, the system in the rental car I had used a central TPMS controller paired with 4 bluetooth sensors, one in each wheel/rim/valve. The system correctly detected that one of the tyres had a problem, but reported it in the wrong wheel position. This was presumably because someone had swapped wheels around on the car, but not re-paired them with the controller to tell it which bluetooth serial number was in which position on the car. The controller was still 'happy' because it was still talking to the same 4 bluetooth devices, but they weren't in the positions it thought they were in.
I suspect the same will be true for any bluetooth (or similar tech) based system. Which basically means any system that can give you the individual tyre pressures (in psi/kpa) on the dash screen. Once you know this it's not a big problem. The issue is if you don't know it, get a warning, check the wrong tyre, decide it's Ok, decide it must be a duff sensor, will replace it later, and carry on driving with a real flat developing on one of the other 3 tyres, ignoring the warnings because you 'know' its a faulty sensor.
IMV this is an example of over reliance on tech, and my advice would always be to check all 4 tyres in the event of a TPMS warning just in case.