No need to, Thinklong, CX do not run 777s on their normal scheduled services to Oz, what they do at certain peak times ( CNY ) and when they run out of buses is another matter but the 330/340 would do more than 95% of the HKG-OZ flying.
I have never seen a 777 run down south, but what would I know, I've only been staff travelling with CX for 4 years