No, the trap was of your making. I asked the question before you said anything about the made up names.
Tasmania is of course named after another Dutchman. And before it was called Tasmania it was called van Diemen's Land (he was the governor of the East Indies when Tasman discovered the island).
and the islands to your east are still stuck with the dutch name Tasman gave them.
Better than the cumbersome title Captain Cook gave to the east coast of Australia, and which one of our states still bears - New South Wales. At one time the whole colony was known as this, then van Dieman's land was settled in 1804, then one by one the other colonies (later states) peeled off.
New Zealand is mentioned in the Australian constitution as a potential member of the new Federation of former colonies that became Australia in 1901. They were invited to join but declined. Any time they want to join they are welcome. Australians regard them as the 8th state anyway, and most of them live near Bondi beach in Sydney.
