The classification of the different temperature ranges is a quality feature, not a die feature. The dies of the same type are exactly identical in the different temperature ranges, but the modules are tested differently so that a corresponding guarantee can be given.
For this reason, the temperature range cannot be read out as information from the die, but can be found in the ordering information resp. the marking.
Certainly, depending on the ordering information, you could program a corresponding firmware that takes the temperature range into account?
Regards
/Peter