That is a more sophisticated system than on my car: I just have one light for the 4 tires.
When it is lit, I have to find the fault one, that is all.
Don't need to be so complicated, IMO.
The best system I have seen was on my 2004 RAV4: The sensors were on the suspension, no TPMS, and when you put winter tires on, you just have to drive a bit and push the reset button to recalibrate the system.
I don't know how it worked precisely, but it was easy to use and works all year round.