NZAA has implemented a reccommendation, by some body or other, not to allow intersection departures . As I understand it, this is to do with minimising the risk of runway incursions, or whatever, not to do with perf issues.
Definately because of runway incursions. Two incursions happened last year , both between Link carriers and both at the angled runway intersections. It is the angle that is seen as the problem, ie the a/c lined up in front of an a/c landing due to the captain having to turn head so far to check that the runway is clear.Obviously there was a lot more to it than that (radio transmissions over-lapping, ATC elements etc). But that is one thing they have done to mitigate the risk. If the intersection is not angled, you can still use it.