As promised, a follow-up.
The online check-in recognised my reservation but wouldn't let me check in, so into the airport queue I went. No issue adding SkyTeam number at check-in. For those with access (including Priority Pass), the Strata Lounge in Auckland is perfectly respectable, though lacking those nice views of the tarmac.
Inbound flight arrived a bit late after a long flight time, especially after having to do a go-around in Auckland thanks to the wind this morning. Boarding commenced half an hour late but was quick. Flight looked to be around 60% full. I noticed business class was in the older 2-2-2 configuration despite the seat map showing the newer 1-2-1 one when I booked.
Back in Y, standard 2-4-2 on an A330. Legroom was more than adequate, seat width also nice -- noticeably better than the standard Y seats on the NZ and QF narrow-bodies.
Crew struggled with English but were courteous and looked happy to be there.
Meal was impressive for a 3-hour trans-Tasman jaunt. Not pictured was the bread that shortly followed thereafter, and barely visible is yet more food in the form of a little packet of pickled veg under the main. I don't think you can do better on any other carrier flying the route.
Flight arrived nearly an hour late as we were then slowed down coming into Sydney with more windy weather, but I was pretty zen being on my way home and not in a rush.
Aside from the lack of a functional app or online check-in, I'd certainly fly them again.