Cutoff Lows and Australian Climate

It seemed to me that the rain event of May 31 - June 2 in Queensland & northern NSW was a near-perfect example of why the reentrainment of cutoff lows into the general circulation is so important in Australian climatology. Otherwise, what sort of event can be relied upon to bring moisture to such dry latitudes during the dry months? Similar events occur in northern Mexico and the southwestern USA too. The Americas are better situated, in general, for rain, and so don't rely quite so heavily on cutoff lows. Australia is in a jam locationwise, however. No cutoff lows passing near southern Queensland in the dry months means little or no rain.

Statistics on these events would be interesting.