One warning (sort of):
If QF is AKL is not able to print your B/Pass ex SYD, QF in SYD will not be able to print it either. I was requested to leave a paper copy of the itinerary with QF F-class Lounge front desk and check 3 hours prior to departure. At that time they called Menzies, verified the passport data and Menzies agent brought me the B/Pass some 60 minutes prior to departure

But definitely there is no need to go landside - in the worst case handling agent will bring B/Pass to you or you will pick it up at the gate. BA check-in only opens 3 hours prior to departure.