Earlier quoted context omitted.
Is "inheritance" used in a different way here similar to how "award" is, or are you saying you often need to inherit money from your family in order to be able to buy a house in Australia?
No, it's used in the same way as elsewhere in the Anglosphere. And yes, as in the rest of the Anglosphere, generally you need an inheritance to be able to afford to buy property.
It is perfectly doable, even common, to buy a home in low and medium COL areas without any assistance from family, living or dead. The fact that you can't do this in NYC or SF is not an indictment of anything other than NYC and SF.