If you have concerns about your domains' contact data being public, for most generic TLDs (such as .COM) we are able to offer a WHOIS proxy service. At this time, it is not available in the current version of our service.
For most country-code TLDs (such as .NZ) a WHOIS proxy service is not possible; the amount of data shown will be determined by the registry's policies. But please note that some ccTLD registries will either show limited data at their WHOIS or have an option for individuals (as opposed to legal entities like companies) to hide their data. If you would like more information about how the WHOIS works in a given extension please let us know by creating a support request.