I think the view of how one or two people in this thread view the Wallabies in world rugby isn't really matched by reality.
Maybe 15 years ago we had that sort of reputation and interest but I certainly don't think it is the case now and definitely isn't historically.
I'd say the All Blacks v South Africa is comfortably the biggest rivalry in world rugby as viewed by the rest of the world.
There is a difference between that and traditional rivalries. The highest ranked sides are the current competitive rivals at any moment in time. South Africa v New Zealand is the clash of the top ranked sides. In the Southern Hemisphere New Zealand has been the top placed side in recent Tri Nations. It's a just a trend. Those games do not capture the imaginations of the rugby public outside of the nations involved.
South Africa has been ahead of Australia the last 2 year but aside from that I would love to see the average standings as I have no doubt that South Africa are regular wooden spoon-winners.
If you think that in Europe that South Africa v New Zealand has the same pull as Australia v New Zealand then from my experience, based on decades living there, I strongly disagree.
To draw a parallel with football, the latest EPL rivalries at the top of the league would still not compare to the global interest in the traditional rivalries (Manchester United v Liverpool etc).