For New Zealand citizens, their 444 visas are cancelled when they leave Australia and re-issued when they arrive back in the country. Most likely, the person is currently out of the country which is causing a 'No Visa' result.
You have to find out when the person will be back in Australia and re-do the check.
CheckWorkRights will automatically recheck any active candidates or employees with no visa every 4 days to monitor for an update from Home Affairs.
If the evidence provided is for an NZ citizen then they’ll most likely be granted full work rights upon arrival (regardless of the current visa check result).
If the candidate or employee is on shore and their record is still showing as ‘No Visa’ the NZ citizen needs to contact home affairs to have their record updated.