Really? Have you been to any of these places? If you had been you'd know that that is nonsense. In the broadest sense they are, inasmuch as they are all a part of the Realm of New Zealand, but they are separate countries in every other sense of the word, including right now during the Covid-19 pandemic where New Zealanders cannot travel to either the Cooks or Niue, and the mandatory 14-day quarantine when entering NZ which applies currently to every country. When the borders re-open, you still don't fly there from the domestic terminal, but from the international terminal where you have to clear customs at both ends. NZers get their passports stamped with a 30-day maximum entry permit, employment prohibited.
While this is true, it is not standard in the jetpunk countries of the world quiz. These are, however, considered in the expanded quiz, so this should be noted in the description.
The others are correct. Niue and Cook Islands are not considered stand-alone countries as in sovereign states. They are overseas territories or New Zealand so they are still considered part of New Zealand and therefore it should've been mentioned in the description.
Here you can see that both Niue and Cook Islands, even though their own pages describe them as "countries", however in a broader sense they are considered two "freely associated states" with New Zealand and therefore in most sites they tend to be clumped together under New Zealand.
Source:
https://en.wikipedia.org/wiki/List_of_sovereign_states
https://en.wikipedia.org/wiki/List_of_sovereign_states_and_dependent_territories_by_continent#Oceania
Here you can see that both Niue and Cook Islands, even though their own pages describe them as "countries", however in a broader sense they are considered two "freely associated states" with New Zealand and therefore in most sites they tend to be clumped together under New Zealand.
and the same for "Marshall" for "Marshall islands".