It's very true that London is more dense but Sydney is a reasonable city to compare to dense urban areas anywhere in the world.
60% of Australians live in 1M+ cities, while only 27% of Brits do. That's 15M dwelling in big Australians cities. Only 17.65M in the UK.
Our biggest cattle station (think "cow farm" for non-Aussies) is almost 10% of the land area of the UK. We have ~20 cattle stations larger than 10,000 square kilometers. You'd only need to aggregate the top 15-17 biggest farms to get the same amount of land area as the entire United Kingdom. (Admittedly, far far less productive land, most of which probably qualifies as desert, but still...)
https://en.wikipedia.org/wiki/List_of_the_largest_stations_i...
The point here is the opposite: that the east coast is reasonably dense and useful for comparison purposes.
Central Australia has pretty much the density of the North Atlantic...
The map here strongly proves your point: https://worldpopulationreview.com/countries/australia-popula...
And mine too - look how much of the country is devoid of towns with at least 10,000 people in them... I just slurped that table into a spreadsheet, there are 24,860,107 people represented in a coloured dots in that map. From that site's total population of 25,463,119, that leave 603,012 people spread across that vast unmarked unmarked grey interior...
Perth of course is the most isolated major city (1M+) on earth - over 2600km from the next 1M+ cities (Adelaide and Bali).
For example, the greater Sydney area has 400 people/km^2 while the UK is 259/km^2.