A common theme here seems to be that the false alarms occur on high speed roads when the tyre pressures will be at their highest.
When checked, presumably when the tyre has cooled, the pressures are correct.
Over time the tyres naturally lose air pressure so that, even on high speed roads, the tyre pressures do not reach the point that the warning is triggered.
This, after all, is a tyre pressure monitoring system.
Nothing says it is only for low pressures. It may also be monitoring, and triggering, for over inflation as well as low pressure. i.e. say + or - 20% of calibrated pressure triggers the alarm.
The calibration instruction seems to indicate that tyre temperature is a factor in the calibration process:
"• The calibration process requires approximately 30 minutes of cumulative driving at speeds between 40–100 km/h (25–62 mph)." - [an exceedingly difficult thing to achieve in urban driving!].