Yep, Starship, that sounds like the tune to me.

I have an inkling that other Aussie songs have used the same tune.

Just in case a non-Aussie wants to know:

"The Totalisator Agency Board, universally shortened to TAB or T.A.B., is the name given to monopoly totalisator organisations in Australia and New Zealand. They were originally government owned, but in Australia most have been privatised."

So the TAB - which I usually hear pronounced as it is spelled out, i.e. T A B - is the shop or agency where a person would place a bet on the horse races etc.