SaltyNZ has kindly confirmed that VoLTE is indeed working on my phone on the 2degrees network. Thanks! And thanks others for the other suggestions.
However, I tested 5G while I was in the city today (Wellington), and that does not work at all :( It was only connected at "4G+" at best, and when I set it to NR-only mode, it couldn't connect to the network at all. @MaxineN
It supports the right band - N78. Looking online, some people are suggesting switching off DSDS (it's a dual-SIM phone, though I only have one SIM). I'll try that tomorrow. I'll also try my SIM in another phone which does connect to 5G. Would be nice to have, though not exactly the end of the world, given I've survived this long without it, and I'm not a heavy user anyway.
Not sure what this has to do with me. I never suggested that I think it should be "guaranteed to work". I'm simply trying to see if it will (and it does, for VoLTE). For the record, I bought this phone because my previous phone - which I bought directly from 2degrees - which was also a Sony Xperia, started to die from battery expansion. I'm a fan of Xperia phones, so I opted to buy a new one the only way I could at the time. And given that as you say, phones aren't even guaranteed to work across telcos, then you might as well "bang on" about it to everyone who wants to move between telcos and simply asks if their phone will still work.