The Qantas frequent flyer program tends to have very expensive rates, however, there are often times that they make First and Business Class seats from the US to Australia available with Qantas Frequent Flyer and not with partners. Still, a 20% bonus is probably not enough to move the needle unless you see an award to book today.
You can also book Emirates First and Business class flights with Qantas. Compare against the Emirates Skywards program before transferring.