My Auber PID has been unplugged for months while I was on brewing hiatus. Do I need to run the auto-tune again, or will it have retained the parameters?
I would not say for certain, but most likely these units would use EEPROM or Flash to store this data, b/c they don't seem to have a backup battery. So they should be able to store the data for years.
The programming is not lost. You'll be fine.