Are you saying mince pies didn't traditionally contain meat? Recipes up to the late 19th century include meat, and even today I can find some that do, although very rare - usually beef suet is the only remaining animal ingredient.
No, I'm saying that "mincemeat" has nothing to do with meat preservation. Mince pies certainly exist (though in my neck of the woods, it's more likely to be a tourtierre).
Mince pies are definitely a thing in New Zealand (and Australia to some extent).
They come in all sorts of varieties - plain mince, mince and cheese (yum), steak and cheese, mince and potato, and then some exotic varieties like butter chicken pie.
They're typically cheap and made from bad quality ingredients, but you can get very good quality mince pies if you know where to go.
If you're a hungry teenager and you need a snack - nothing beats a mince pie.
Minced meat pies are so ubiquitous in Australia that we usually just say "pie". "Mince" is nearly always assumed to be animal meat.
The fruity kind of pies that only appear at Christmas time are called "mince pies", but we should really find another name for them because it's a constant source of disappointment when you expect savoury goodness and are presented with a sugary lump.
Anything in America called a "mincemeat pie" is a million miles removed from this; it's going to be something syrupy and a little bit lumpy with cloves and dried fruits. Mince to us is "ground beef"; if you asked for a pound of mince at the supermarket, you'd be directed to the aisle with the Mentos.