Not in my experience. Of course apart from my backpacking EK Economy sectors, hate WHY in the 777, to plane downgrade from long haul J to regional J before the alliance with QF. I was completely off EK, then the QF alliance and at the time double SC on some EK metal QF Code flights I then had EK F flights, until one flight cancelled and I was downgraded to WHY on a QF 737 and EK didn't want to know about me.
My only interaction with EK since that trip has been using their lounges before my QF flights.