I don’t know about AKL, however they do it at Sydney frequently. Most nights, during curfew, one end or the other of 34L/16R will be closed for works with a displaced threshold. Instrument approach procedures are authorised to circling minima only and the PAPIs are displaced. The ILS glideslope is turned off.
The main threat, from my experience, is that the work lights can be much brighter than the runway lighting which can make it more difficult to find the PAPIs initially. The lights from 34R, if on, can also be more obvious than 34L and there is a risk of lining up on the wrong runway.
The main threat for departure is that you use the correct take off performance data.
We had a few cases of aircraft lining up on the wrong runway but nothing that turned into a serious incident.