Finally got my passport to New Zealand! Took 5 weeks as advertised.
This is my timeline (received a text with tracking number after numerous phone calls and urgencies)
Passport received 21st March via DHL
Passport tracking number received 17th March
Passport printed 9:50pm on 9 March 2022
Application approved 1:17pm on 8 March 2022
Documents received 7:15pm on 2 March 2022
Application received 12:00am on 15 February 2022
Application submitted 11:59pm on 14 February 2022