Wacked,
one way EK get round this is too factor your augmented flights, and we have quite a few of them.
Eg. A augmenting FO sits in the seat for 6 hours on this 10+ hr flight, that's all that is counted towards his 900 hrs.
A capt does a 34 hr Lax return, he logs 27 hrs in his 900, as he augments one way.
We have muliple examples, and don't expect days off for months in excess of 900, you will be given ground duties, sim support, office days, etc or like a friend of mine allocated leave to eat up the leave the company hasn't allocated already( with 2 weeks notice not much he can do as his other half can't get off)
As it has been mentioned before, although EK has a fatigue monitoring program, I've never seen any improvements to fatigue levels in EK
As we say Keep recovering!