It seems to me that a 2020 car with a paltry 16,000 km should not require a new, um, let's call it an "engine" to emphasise its prominence as a functional part. Wikipedia classes 'motors' with 'engines' and although I disagree with that definition, sometimes it's convenient to help make a point to those less familiar with EVs.
Motor failures were more common around 2018-2019 Kona/Niro but seemed to have tapered off. This is the first I've heard of such a failure in NZ but of course not every owner here would report such an event on forums.
But unless the car was driven through deep water (and you might want to look for any signs of that) there's no excuse for the motor to fail so early, if ever.
Unlike the gear reducer, I have not personally investigated the motor failures outside of what's mentioned in this thread but I tend to believe it's (also) a design error. Hyundai NZ have some cheek billing you anything at all for what's obviously a manufacturing defect. No consumer expects a new 'engine' to be a reasonable expense for a car barely 5 years old that cost over NZ$75k new.
There have been a few 'wheel of fortune' incidents reported on Konas bought from Turners auctions in the past year, which presumably are corporate fleet lease returns. Hyundai NZ has been known to cover at least one such repair out of warranty for a Kona of similar age, but also balk at others. Turners has been asked to cough up in one or two cases and I understand they make it difficult as well.
I understand there is a firm in Taupo that will replace the bearings on an Ioniq motor and that might be an option for you as it's a similar job. But the the motor is not easy to R&R on the Kona, dropping the entire powertrain unit out from underneath is one approach. $1600 in labour does seem right although the AC re-gas cost seems absurd.
Hyundai don't have the luxury of the lower cost of simply changing the bearings as it's a black box to them, same as the gear reducer and traction battery, it's just a part number.
If I were you I'd make more noise about this. Post your story on FB group NZ Hyundai and Kia EVs and NZ EV Owners.