Your indefinite RRV is deemed to be a permanent resident visa. When it is time to transfer your residence status into a new passport, the new label will be a permanent resident visa.
You are deemed to have a resident visa with travel conditions that expire on the date specified on your RRV. You will need to apply for a variation of travel conditions or a permanent resident visa rather than a new RRV if you want to travel outside New Zealand beyond this date.
You are deemed to hold a resident visa with no travel conditions. If you wish to travel, you will need to apply for a variation of travel conditions or a permanent resident visa rather than a new RRV.
In this situation, your residence status is has expired. You may apply for a second or subsequent resident visa if you wish to return to New Zealand as a resident.
Application from a Resident Visa Holder
Resident Visa Guide