Well, that could prove to be a significant for the entire classic car hobby in Oz. In addition to the parts you mentioned, clutch friction discs can contain asbestos, as can any gasket in the car. Also, some electrical components and wiring can contain asbestos insulation or heat resistant parts. And what is the make-up of the mat that forms the firewall on our cars?
I am curious as to how they do the search for asbestos in a classic car. Asbestos can show up almost anywhere, not just heat exposed items. Many paints (though not necessarily auto paints) have asbestos as a filler, as do some composites (fiberglass?), fabrics, cushions, carpets, and non-heat exposed gaskets, etc. These uses may not be common in classic cars, but it does happen and how do you check? A fully proper check for asbestos would be completely invasive and require a full tear-down. In the case of gaskets, the asbestos is perfectly harmless until the gasket is disturbed. In fact, that is true of most asbestos containing products. Paint containing asbestos is perfectly safe until one grinds or removes the paint, at which point the asbestos fibres are released to the air. The real harm comes not from the presence of asbestos, but from disturbing it.