Mine have tripped from the barometric pressure drop ahead of a strong storm, and the odd very cold night (50-60F day to night change) but they should reset. It depends on the pressure where your sensors are set to trip - that gets set by modern tire shops when they sell you tires. Add a pound or two of air and it should disappear.
You'll only get a system error if the TPM has failed or can't talk to one or more of the tire sensors.
The other TP alarm condition is a puncture, which is more than 3psi/min. pressure drop.
If you add air within 15 min. of putting the key in LOCK position after driving the message should be cancelled immediately. Otherwise the TPM will take the normal learn time to cancel it after adding.
EDIT: If the alarm repeats after adding air, check for something like failing valve insert, or a drywall screw imbedded in the tire. They can get into some strange places.
Did the shop check where the sensor is set to be sure it was still at the right trip point for the tire? It almost sounds like you have a sensor set to trip at 35+ psi or whatever full scale on that setting is...stuck IOW.
Check all tires pressure, u might have misplaced tire.
second u will need a tech2 to read actuall pressure from the sensor, faults and others, its usually a failed sensor that indicates zero and it could be intermittent
I had this exact same problem. It was going on for a few weeks, pressure was always good. Then when it got cold, my car battery died, it was getting old. New battery installed and the warning has not returned. It has been 2 weeks now!
Double check that you actually have TPMS connected to your car. Easiest way is decrease pressure (under 180kPa) from 1 wheel and drive few hundred meters/yards. If TPMS is OK,you should have warning.
Remember to increase pressur back to normal.