AFAIK, calibration lab techs don't get the summer off due to lack of business. It's also doubtful that sales and shipments of precision meters cease during mid winter and mid summer. The storage temperature range for the LTZ1000 is -65 to 150 C, so I doubt you could damage one. Didn't see a spec for metal foil resistors, but I'd be surprised if it was an issue. The big question is hysterisis of everything as you cycle the temperature and the only way to find out is to try it. Temperature and vibration in shipping is one reason I dislike trimpots. Too many change by tapping them, so they're certainly subject to changes during shipping.
Well no, that's not a question of damage, but of hysteresis of the chip, in the completed circuit.
Have a look into the specifications of the Datron 4910 and 7001, both are limited in their storage temperatures.
The 4910 from -40 to +50°C (Great!), but the 7001 has limits of -18..+45°C for transit, and 0 ..45°C for storage, plus the clear hint inside the manual, that excessive (low) temperatures will cause hysteresis, being removed by the unique conditioning procedure.
Early this year, I also shipped two LTZ1000 modules during cold weather to friendly volt-nuts, several degrees below zero °C, and both references showed a persistent shift of output, several ppms, although they showed absolutely no hysteresis during their characterization, between +15° and +40°C, at 50°C oven temperature.
Therefore, the selection of seasonal shipment is very important, as is the star-wise shipment, to get a baseline, back at the initial lab.
Although both of my references had shifted, I could to some limits decide from these drift data, which voltage value of the returned sample was to be expected... So I concluded in the end, that my Volt agreed to acberns calibrated Volt within parts of one ppm.
Frank