It is my understanding that QF's policy for through-checking bags for different bookings is that they will only do it if the connection is to another OneWorld airline or JQ in some circumstances (int transfer for example).

Of course this does not mean that the policy is always rigidly enforced and you may find a check-in agent willing to through-check bags.

Just because the airline may have an interline agreement with another does not mean they have any responsibility to through-check bags when purchased on separate tickets. The baggage interline agreements normally only apply when the ticket itself is purchased as part of an interline ticketing agreement.