The t's& c's say
For Points "Only one bonus Qantas Points offer can be used per individual qualifying segment of your itinerary. If you qualify for multiple offers, the offer first-registered for will be applied to each individual qualifying segment."
For DSC "This bonus offer cannot be used in conjunction with any other offer by Qantas. Bonus Status Credits earned from this offer do not count towards Loyalty Bonus or Platinum One Loyalty Bonus earn requirements. Only one bonus Status Credits offer can be used per individual qualifying segment of your itinerary. If you qualify for multiple bonus offers, the offer first registered for will be applied to each individual qualifying segment. Given it talks about Qantas Points"
So make of that what you will. Based on the "conjunction with any other offer by Qantas" part i would say NO. But im not an expert.