This assumes unversal jurisdictions.

Why? Historically, cultural norms were established to keep the peace.

This is not what happenes when hunter-gatherers and even nomadic pastoralists attempt to use the agricultural land, which can be in the commons, according to the local agricultural society. Problem is, the others don't see it that way.

The historical context today is different, though. Land is way easier to defend than back when raiding pastoralist tribes could ransack the place.

In practice, all animals are territorial

That's an unsubstantiated claim that is wrong afaik.

and chimpansee societies go to war with each other

And Bonobos don't. Cherry-picking species is not a generisable argument.

So you will get hunter-gatherers attacking other tribes, for access to prime territory.

Hunter-gatherers don't really have that concept of land.