You need to put a correspondence address, but it doesn't need to be a home address — most reasonably-sized companies will allow directors to use the company address, or the address of their law firm, instead. That doesn't work so well for companies that run out of the directors' homes, of course.

You can see the correspondence addresses for the former directors of Huntingdon Life Sciences in their record at Companies House: https://find-and-update.company-information.service.gov.uk/c...