The British media really only cover Australia when there are major political events, disasters, or "man bites kangaroo" stories.
Australians can get a feel for how this works by considering the treatment of New Zealand in the Australian media. And of course the United States does the same to Britain.
Going the other way, of course, Australia looms large in New Zealand, Britain looms large in Australia, and the United States dominates the English-speaking world across most media.
Economically, Britain and Australia aren't so far apart in this chain - the nominal GDP ratios are US/UK 6.7, UK/Aus 2.1, and Aus/NZ 8.5 - but the cultural edge seems similar.