The badge may well be a trade sample?
The notion of a 'New Zealand Pattern' eagle is new to me. I have about 6 different pattern eagles all from NZ service mans estates. I am currently researching the subject and about to write it up.
On another subject the RNZAF museum is uploading their entire archive of images to the web for all to see
https://fotoweb.airforcemuseum.co.nz/fotoweb/ and refer to FAQ.
Barry