Two words can sum up EK strategy: Tim Clark.
I hardly see any possibility of EK and FZ merging from different bases when TC himself said that moving FZ to DWC will free more slots for EK.
If by strategy we're talking 10 years and beyond, then, anything is possible. By then EK may or may not have TC on board, the aviation industry may or may not change significantly, and EK/FZ/EY/G9 may or may not find some synergy.