Kiwiguy the DUD runway is 1900 meters, Takeoff weight on 21 is just on 60 tonne for the B737-300 on a standard day, 03 is slightly less at 58 tonne. Called the airport manager about how freedom got loads off the runway, "a few times a year they had problems with low pressures, hot days and a northerly usually in the summer". The bus does it even better, according to the books.
So the runway is not limiting or stopping anyone from operating at DUD for international operations to Aussie east coast.
Mainland operate DUD to Alexandra on a semi sched basis, no punters no operate according to the Operations Manager in the ODT. They only fly on a charter basis to ZQN.