If it is similar to other *A carriers which earn based on the booking code of the operating carrier, you would need to translate the NZ K code to the equivalent SQ booking code. The rule here is:
Code:
IF VIA NZ K- FARES
VIA SQ K REQUIRED
(This information is sadly not available for free.) It looks like NZ K maps to SQ K, which is pretty moot as neither booking class earns miles on A3.
But this might be a better question for the A3 forum.