I see no problem with farming as long as the animals are kept (and killed) well, since having a safe life, with no parasites and fell fed, and then a quick death, is a lot better than most animals ever get in the wild. There's absolutely no need to keep and treat them as horridly as we do now for profit, you can just let them graze and be pretty naturally depending of the climate and all that, though in many places you have to have livestock guardian dogs at least with them so they don't get eaten by the wildlife.

That kangaroo hunting is very comparable to hunting in many places, since a lot of it is done because humans have erased natural predators and their numbers need to be controlled to prevent overpopulation. Killing for sport is not the reason for hunting everything everywhere else, though even trophy hunting can be done relatively ethically, since the locals can use the money to protect the species and the trophy hunters get to cull the ones that would be killed to keep the population healthy anyway.
And reindeer herding has some similarities to that aboriginal style, though the siberian nomad tribes don't stay in one place but herd the flock around in certain places depending on the time of the year, and the more stationary way is done for example up in Lapland. They release the reindeer in the nature and then herd some of them in one place only on certain times of the year. But on that more stationary way they lasso them and put markings to their ears, so I don't know would you be okay with that. And a lot of them get eaten by the wolves

I'll also add that "no white tradition" is a pretty vague assumption, since I do not know what does "white" include to you. For example the traditional way of keeping cows around here was pretty good since you'd keep them for milk foremost, and mostly the excess bulls and old cows only for meat. You'd just let them go graze in the morning and call them back for milking for the night, though they did have to stay inside all winter since it's so cold here, so maybe that alone would mean it doesn't count. And we finns weren't considered white in USA before 1908 so that way of keeping was done by "whites" only for some decades before the modernization took over anyway.
It's been done in a similar way in many places in Europe (especially the remote mountain areas), with sheep and milk cows at least. But maybe those require more herding than just calling them back, I haven't looked deeply into it