With respect to availability of slots,
this press release states that the 3x / week is a limit imposed by the bilateral air services agreement currently in force between Australia and France.
Market access is being discussed under the umbrella of the Australia / EU open skies discussions currently taking place. It does seem rather silly that an agreement between the two countries at the end of the line precludes carriers from at least one of those countries from properly competing with carriers based at points between.
As an interim, I'd be interested in asking Les Frogs if there's any chance of a quick grant of Fifth-Freedom rights between Heathrow or Frankfurt and CDG?
So you'd operate your directs 3x / week and Fifth Freedom in the other four days et voila! Daily services and use of slots and possibly increased utilisation of the QF005/006 airframe.