TPMS and safety?
There are two tire families: regular and run flat.
Regular: better on gas mileage, in case of puncture you need to stop the journey immediately with the risk of loosing control of vehicle (TPMS does help but does not solve the problem at all here)
Run flat [RF]: tire shoulders are reinforced, in case of puncture you still have 100Km or so to reach the tire shop at low speed. They offers much better handling in case of failure. There is no free lunch, it requires more energy to rotate that tire on the road (bad gas mileage).
Problem is a low leak (or even a high leak sometime, if the driver is a old lady) in a RF tire is not necessary noticeable by the driver --> danger --> TPMS required by law.
What also push the TPMS law was the CO2 emission. If you ever tried a flat tires bike, you know how much tire pressure is important on energy efficiency. TPMS will warn you not only if your tire is leaking but also if it is low on pressure --> that's why in winter with low T a lots of bing "check tire pressure" warning are displayed on cars.
Please note:
- every 10C it means about 0,1 bar variation in the tires.
- a perfet tire with no damages loose about 1 bar/year since it is not a perfect sealed system. (we call it diffusion)
you are smart enough to understand the consequences.
Regarding pairing, a good TPMS should recognize a new set of wheels without any extra tool. In our system we had 8 position in memory for the tires, 4 for sommer and 4 for winter tires for quick detection. If the set was not in memory it took only longer to get accepted by the ECU. You should do a TPMS reset anyway in case of changing tire, should be RTFM.