They are quite different though. Australia requires an extenuating reason to issue this visa, probably some sort of emergency where one needs to go to Australia without being able to wait for a new AU passport.
An NZ citizen can easily enter NZ on any passport that has visa-free entry without needing to lie by omission. In the OP situation, there's no need for an NZ citizen to get that endorsement if they only want to go on holiday, unless their other passport needs a visa to visit.
I see you missed this bit: "It's actually a bit of a fudge for Australia"
I said it was
possible. People had commented that it wasn't possible
at all. That's not correct. I pointed out how it
can be done for Australia. I used NZ as a
very broadly similar situation for contrast: NZ has a very clear process for this, which helps make the situation & unclear process for Oz more understandable. Well, I thought it did at the time.