Just a read through the Fragrant Harbour forum should be enough for you to see why basings won't happen in EK. CX was once a very successful, cohesive work force at the top of the pay scales, then Basings started and it has gone rapidly down hill ever since. Every time you open up a separate base your are, in effect, setting up a company within a company and each 'little' company will only be looking out for itself, fragmentation begins and the rot has set in.
I think the HR departments of other Gulf airlines would be very much on their guard against people that were only coming to work for them because they have a Basings policy and may well avoid such pilots in favour of people prepared to live in the Gulf.