You know its funny that you say this. Went I went to Brisbane, I was so fascinated by this that as soon as I found a loo I had to check it out. Much to my surprise the flush comes from the front and down through the bottom. There was no circulation at all. So disappointed.... But water definitely drains the other way.... 
It's actually an urban legend. While the relative direction and speed of the Earth spinning has a noticeable effect on wind currents and large scale metrics (aka - the coriolis effect), it's so negligible on the scale of a toilet or bathtub to make it irrelevant. Similar to elevation's minor impact on gravity and it's effects on weights and relative time. Other factors such as the way the basin is made, the materials, the curvature, the direction the water comes down, etc. would be exponentially more impacting.
I've never actually been to AUS, but my understanding is that, as you mentioned, the toilet bowls are made in such a way that the water comes straight down and out, as opposed to spinning around the sides like in the US (and elsewhere).
Though urban legend or not, I still like to use it to make fun of Australia
. That and the fact that they are all just a bunch of criminals.
