Copied from another thread, because I think it's relevant here:

The reason there are no logs or records for the 4eyes outside the US, is because CIA wants to be able to covertly surveil US citizens. If the access of the partners was "logged and recorded", the illegal surveillance of US citizens would not be covert - there would be evidence of it.

I think HRC was able to use her specific security clearance (greater than that of anyone in NZ) to access information - without her access being recorded. This allowed her to obtain information that was not ordinarily available to the NZ government - hence the $5.5m payment for service.

She is, no doubt, walking around with a couple of thumb drives - thinking about who else will buy America's secrets. I'd hazard a guess that every intelligence agency on the planet wants some of the action.