Don't work for EK but the following strategy worked really well at a previous employer. I'm sure you can adapt the basic strategy.
Don't immediately answer calls from crewing.
Judge the urgency by the number of times they call.
Wait a number of hours/start of another shift at crewing
Return their call.
By the time you return their call the problem will have been resolved. This covers you in case you are dealing with vindictive management - you returned the call and there's nothing they can use against you.