New Zealand is also significantly further south than most of the Spanish/Portuguese interests. It's not useful as a way-stop a la Guam, so any colonization would essentially have to be for its own sake, which means any trade would have to be lucrative enough to justify sending a galleon down that way every year or so. Note that even the Caroline Islands weren't settled by Spain until the 1880s (and they had claimed them in the 17th century); New Zealand seems likely to be far less of a priority. There is plenty of land in the Americas that would be more useful to settle.
There were some mineral resources, but a) other than jade, I'm not sure how much of it the Maori exploited (especially in the 16th/17th centuries), and b) it's vastly less than the Spanish can get from their New World colonies or trade with China. There's also the fact that the Maori fit exactly the profile of "natives that the Spanish will decide it's better to leave alone rather than conquer" a la the Mapuche et al. (highly militaristic, remote, not building cities of gold, tending to low population densities).