Here is the info on regulations for snow chain use in NSW copied from the
RTA website.
So it's clear that there is no legal requirement for 4WDs to carry chains.
-Snow chains are recommended by the RTA for all vehicles, when driving in poor snow conditions to assist drivers and reduce accidents.
-When driving in the Alpine Region, the RTA has identified possible snow and ice risk sections with yellow lane line marking and signposting. Snow and ice risk sections have been identified on the approaches to and within the National
Park, and the RTA recommends that all vehicles carry chains in these areas.
-National
Park regulations state that all vehicles (except 4WD vehicle) entering the National
Park must carry chains when driving through designated 'snow and ice' risk sections. Snow and ice risk sections are identified by black and yellow signs within the
Kosciuszko National Park. The current designated 'snow and ice' risk sections are:
Alpine Way – Thredbo to Tom Grogin
Kosciuszko Road within the National
Park boundary
Guthega Road within the National
Park boundary
-When directed by signs or an authorised officer, fit the chains to the vehicles driving
wheels (back
wheels on rear wheel drive cars and front
wheels on front wheel drive cars). Generally, this will be at special chain fitting bays along the route.
-While four wheel drive vehicles may not be required to fit chains, it is still wise to carry them and will certainly assist if you lack experience driving on ice and snow. You may also need them in the event of extreme weather conditions.
-Make sure the chains you buy or hire are suitable for the wheel diameter and tyre size of your vehicle. If possible, have a practice fitting in your garage before the journey so that you understand how to fit the chains and won't be placed in a difficult situation in bad weather conditions.
-Tyre pressure should be 25 kPa or higher when using chains. Tyre manufactures recommend that cars with radial tyres shouldn't travel faster than 40 km/h when fitted with chains. Stop and check the tension of the chains after driving about 200 metres.
-Remove the chains immediately when you are told it's safe to do so.
-Random chain inspections will take place throughout the ski season and fines exceeding $300 will be issued to drivers who fail to comply with National
Park regulations on the use of snow chains.
-Chain bays are located on Kosciuszkio Road at:
Sawpit Creek
Wilsons Valley
Dainers
Prussian
Creek
-Chain bays are located on the Alpine Way at:
Penderlea
Thredbo DiggingsRanger Station
.