If you’re on a temporary work visa, you are very likely a resident of New Zealand and not the UK (unless its for less than 6 months). People often confuse the immigration and tax definition (banks usually use the tax definition).
If you’ve lived in NZ for 3 years, you are not a UK resident.
The only exception would be if you were working on behalf of the British government in New Zealand. Given you have a temporary work visa, this is likely not the case.