Classic swiss cheese with thankfully the final holes not aligned. I am sure in time honoured EK fashion the sole blame will be attached to the crew but there are other factors not least some seriously poor ATC. I am sure a reflection on EK crew fight hours and associated fatigue will not be part of the 'wash up'. Who hasn't made an error while seriously tired or fatigued? I have been in a similar type situation in the past due ATC cock up and ourselves and the intruding and opposite aircraft manoeuvred to avoid even with vertical separation. I didn't think then nor now that it was particularly heroic, just common sense.