Aussie Andy - yes indeed, such people can apply for an exemption from the electoral roll and from the requirement to give real addresses on Companies House info.
I think the real hassle about G-INFO is that the CAA won't maintain a separate "correspondence" address. This means that anyone using the accountant's address (as is obvious if using a ltd. co.) will end up hassling his accountant with a load of mail, some from the CAA, some bulk mail from CAA-related mailshots, some letters from people who want to rent your plane, some bills from foreign airports one went to years previously for allegedly unpaid landing fees, and perhaps some NIMBY stuff. Same happens if using a mate's address, or whatever.
Actually one would be amazed just doing a google on one's reg. Thanks to so many people not having a life, the movements of some planes (including N-reg ones, of course) are well logged....