No idea - but the CAA stats for Sept, Oct, Nov shows that freight carried on Non EU scheduled operations is 20/30 tonnes a month for EDI, approx. 700t for NCL and 1500t for GLA. The NCL figures will be all on the daily EK 777, and presumably GLA is mainly EK as well.
If this is right, the EDI figures look extremely low and suggest QR aren't in the need of extra freight capacity, unless the 787 is subject to restriction on the freight it can carry.