I believe the claims refer to
jet aircraft:-
While Qantas has never had a fatal jet airliner accident, the Australian national airline suffered several losses in its early days before the widespread adoption of the jet engine in civilian aviation. These were mainly biplanes or flying boats servicing routes in Queensland and New Guinea. The incidents between 1942 and 1944 were during World War II, when Qantas Empire Airways operated on behalf of the military. While strictly speaking not an accident, the shooting-down of G-AEUH is included for completeness.
More at:-
Qantas fatal accidents - Wikipedia, the free encyclopedia