The problem is 82% (per Joyce) and growing are quite happy to pay cheaper fares and fly on someone other than Qantas, someone who gets maintenance done outside Australia.
If the 18% or so that fly with Qantas want to fly with other operators for a cheaper price they would have done so.
I know many who fly Qantas as they "feel safe" flying with them.
Perhaps its a lost cause but Id venture to say that people who fly with other operators would have no idea and are ignorant of the quality of the maintenance on the aircraft they are flying on. No, Qantas dos'nt have a monopoly on quality, but at least you can be sure Qantas planes are maintained by experienced,well qualified engineers who have a vested interest in the company they are proud to work for.