The real story: this is far, far bigger than autism. New Zealand now won't accept anyone with an obesity-level BMI for example, or a chronic disease like Rheumatoid arthritis, or any condition that is likely to cause particular expense. New Zealand has free health care (though of course the tax payer funds it) and a string of neoliberal goverments have been bent on lowering company taxes and so health budgets have been slashed to pay for the lost revenue - it's not an autism issue per se at all, though autism is affected along with many many other kinds of conditions as requiring extra revenue. It's a neo-liberal issue..and it's been going on for a couple of years coming right from the top levels of parliament.
The amount per capita commited to the health budget is deliberately being shrunk so that the far right government can sell off our health system to private ownership (theirs, through blind trusts). So they are committed to make the current system fail from underfunding - then they can say that it 'doesn't work' and privatise it so that rich shareholders (themselves) massively benefit.
However currently there are long waiting lists even for NZ citizens now, due to deliberate under-funding agenda, so that the current system can't even cope with citizen-level demand, let alone newcomers, and the neoliberal government doesn't want to push the strain too hard too fast for now as there is an election next year and they don't want to lose power. (I hope they will).