ExXB, great to get your input.
Yes it is an LH flight number, so I'm assuming LH are the principal carrier. I have watched the same flight on FlightRadar24 a number of times and around 2 out 3 flights they do take the Greenland route, hence my initial comment of "weather permitting".
alserire, That is good news about seat selection at early check-in. I shall try that. Between AKL- LAX then only 2 hours on the ground before LAX-MUC, I won't be drinking much alcohol, but will want plenty of fruit juice or similar.