Drop- I think you are wrong in your interpretation.
If you go to Seattle on leave, and come back after 2 weeks. You cannot do a ULR to Sydney (unless you spent three nights in Dubai before the duty).
If you went to Seattle then enroute to home stayed in Cyprus say, for a few days then came to Dubai, you could then do a Sydney.
The company has given warnings to guys who have gone to London on days off, then come back to Dubai 12 hours before doing a ULR duty.