Consider what you know about cultural diffusion and cultural isolation. How have these factors affected Australia, New Zealand,
and other areas of Oceania? Be sure to consider similarities or differences between each region, as well as the similarities or differences the regions have with other regions.
We can be sure that cultural diffusion wasn't a thing that happened from Europe to Australia, but it did happen to a certain extent from Australia to New Zealand and to other areas of Oceania. We have to consider that the people who traveled these distances had to travel for a long time to be able to spread and share their cultures, as opposed to travelers from the European nations which didn't travel that often... i hope this helps :)
We can be sure that cultural diffusion wasn't a thing that happened from Europe to Australia, but it did happen to a certain extent from Australia to NZ and to other areas of Oceania. It happened from Australia to those places as well as vice-versa. We have to consider that the people who traveled these distances had to travel for a long time to be able to spread and share their cultures, as opposed to travelers from the European nations which didn't travel that often.
The story of the European settlers in the USA (if that's what you mean) mimics the biblical story of the Israelites reaching the promised land in that they both believed that if they just came to this place of "milk and honey" they would be able to flourish, and truly enjoy life. This was true for the most part.