Torquelink.
Logical if the main decision was based on the 777 but not if it was based on the 7E7.
ANZ may think that the 7E7 variants better match the airlines growth plan and so have picked the engine they think best suits it. Not knowing much about the GE or RR engine I can't comment.
The decision on the 777 will then be based around any possible switching rights. Having chosen RR for the 7E7 it is only logical to then go with them on the 777.
747FOCAL put the 777X problem down to airframe and not the engine so pushing out the 777-300ER options for an RR engine doesn't help this problem.