I think calling it a "rolling R" is misleading, since it's actually an approximant, /ɹ/. The term "rolling" or "rolled" usually refers to trills, /r/ or /ʀ/, w

I think calling it a "rolling R" is misleading, since it's actually an approximant, /ɹ/. The term "rolling" or "rolled" usually refers to trills, /r/ or /ʀ/, which no New Zealand dialect has as far as I can tell. Although feel free to correct me, this is just what I could gather from googling it.