minigopher17:
As a follow-up, after 22 minutes on hold, I was told I have to purchase a new SIM card for $5 and see if the problem persists before they'd pass on any details to a tech for investigation. Not the solution I was hoping for, but if that's the process, so be it and I'll suck it up.
According to 2 degrees own web site, if your SIM is faulty, then they will replace it for free. Source: https://www.2degreesmobile.co.nz/mobile/sim/