Actually I am not so sure about that. In fact I would be more inclined to think that BA may well pull all services and withdraw from Australia as they can no longer code share (from April next year) with QF.
The dominance of EK and QF would be too much for BA especially where at present you still cannot fly non stop between UK and Australia.
Emirates have the advantage of flying out of various regional cities throughout Europe as well as the hubs and feeder flights to Aus from Dubai will offer the quickest flights down under and interstingly enough does tend to allow for better equality in terms of the actual time in the air where generally routing via DXB (Dubai) means that the longest sector is around 10 hours unlike say LHR-SIN at 13 hours or so.
Nivsy