No as long as there is sufficient numbers of pilots wanting to step up to the big shiny jet (BSJ syndrome) EK will still have eager pilots wanting to join them. I think what has happened is that the global pilot pool is diminishing due to age, airline strength, reduced military training pilots and cost of private pilot training/qualification being pushed to the pilots themselves rather than the airlines. I know myself when I started my personal training at the end of 2000 the events in the following year made my short to mid term prospects so grim, lots of experienced pilots that suddenly found themselves unemployed, that I stopped and then pivoted my career choice yet again.
However if I had continued I think I would have been tempted to fly with a ME3 airline or CX at least for a while.