Routing to DWC as you said is via DESDI.
Operating EK Cargo in/out of there, have never held once, even when LVP's were in place at all airports.
So even if they are stacked up at DESDI, you should sail straight through. They may get you down early to accomplish this. And be prepared for track shortening and possibly vectors to the south of DWC for a circuit entry
halas