Funnily, it never states it's New South Wales. Even on the "About NSW" page, NSW is never written out.
Same blindspot as Americans using two-letter codes for their states (AZ etc.), or any other country's inhabitants using locally-known place names, or not adding their country after it.
Googling '"new south wales" site:www.nsw.gov.au', some pages have it apparently written out in full, but clicking through to the e.g. "State Flag" page, they've updated the page to say "NSW"!