By all means bring your Confuser to NZ to study. Law is a bit different between there & here. However, with respect to other theory topics, nothing really changes from country to country. Flying is flying, it's just the licensing authorities who try to convince us otherwise. Oh, except NZ has mountains and the UK doesn't...
If your JAA PPL is
fully current and valid and your medical is
fully current and valid you can get an NZ PPL without doing any theory subjects at all. Pretty good eh? Refer
here and
here.