I keep getting emails along the lines of this
I am contacting you about the address listing displayed within your
<some postcode> postcode page:
<some address>
Please suppress the individual address from public display and
address-based search-engine indexing where possible.
I object under Article 21 of the UK GDPR to any processing that links
this address to me as an identifiable individual. If you regard the
address-only information as public geographic data rather than
personal data, please still treat this as a privacy and safety
suppression request and explain what minimisation or exclusion is
available.
Please confirm the action taken and identify the underlying source if
the address cannot be suppressed.
The key line is
I object under Article 21 of the UK GDPR to any processing that links
this address to me as an identifiable individual.
The thing is that my site does not link the address to the person. An address on its own does not identify anyone so this is not a GDPR issue. There are some cases where I link to a company on the Companies House website, where somebody may be named as a director with their address. I assume Companies House has some GDPR exemption, but it's not me storing that data, so not my problem. The only example I can think of that could possibly be a GDPR issue is where someone uses their own name for their company name so their name and address appear on the same page on my site. Even then, the site isn't linking the name and address and the only way to find that link is to head off to the Companies House website.
I suspect some of this is being driven by privacy companies who claim to be able to clean your personal data from the web. That seems a perfectly reasonable thing to be doing, but seems to be somewhat misdirected if that's what's happening here