TV3 reported on the 7th of September 2021 that 37,000 surgeries have been cancelled in the last month because of the lockdowns. More: https://www.newshub.co.nz/home/new-zealand/2021/09/covid-19-cancer-patient-accuses-government-of-playing-with-people-s-lives-as-surgery-cancelled-three-times-due-to-covid-19.html
In another story of the 6th of September, it mentions that many people with cancer are having to wait too long to be diagnosed due to COVID-19 restrictions. Professor Frank Frizzelle, medical advisor for Bowel Cancer New Zealand, said after the nationwide lockdown last year, it took almost a year to clear the backlog of investigations and treatments. More: https://www.newshub.co.nz/home/new-zealand/2021/09/covid-19-patients-waiting-too-long-for-cancer-diagnoses-under-pandemic-restrictions-top-doctor-warns.html