EDI was constrained by it's place in the wider strategy of Scottish Airports which saw long haul and sun flights at GLA with EDI feeding LHR and some European point to point. However Scotland has changed a lot since that strategy was sidelined more so now Edinburgh has a Parliament once again and the city was put firmly on the visitors map and has eclipsed Glasgow to some extent.
Emirates may well remain at one per day. Look at Continental at GLA. Started with a B757, moved quickly to a DC10, then a B767-400. When CO launched EDI, we saw summer 757 service at 11 weekly GLA and 10 EDI making three per day to Scotland then that switched to EDI having 11 vs GLA 10. Once the dust had settled, EDI had three daily B757s to two cities, EWR and ORD whereas GLA is back where they started in 1998 with one daily B757 to Newark. I suspect DXB-NCL will remain and do well for EK but may well stay once daily on a B77W whereas GLA will eventually see the A380 and QR and EY will continue killing each other at EDI. There's a wider picture at play.