Just had a quick look and from what I can see it has been the old deep reclining seats 4 times in the last 16 flights, which is 1 in 4 flights. This is higher than it has been in the last few months so I think part of this is down to bad luck/equipment changes. Within the next few months I would expect more of the old 2-class 777-300ER's to be refurbished although I have no official details about that. Emirates777 is the person on this forum that I think is most informed on the subject
I'm flying this route in December and January so I have my fingers crossed for lie-flats!