Regardless of your nationality, if you are entitled to a loan AND CURRENTLY IN NZ, you WILL find a position on one of these courses.
I must politely disagree with you on this. Back when I was instructing we always had far more applicants than we had fully funded training spaces available. We had to pick and choose who to accept based on a variety of things. We simply did not have enough 'Efts' to accommodate everyone who sought funding.