It's always a good idea to update your personal information, however, I doubt that you will be denied the PreCheck designation on your boarding passes if you don't update your home address.
If you are a member of theTSA Pre✓® Application Program, you may call (855) 347-8371 weekdays, between 8 a.m. and 10 p.m. ET, to make changes to your name, address, or other information contained in your records. You may also
submit your inquiry online. You will be provided information regarding documentation needed to process the change.