I would not count on it. Flew DXB-GRU a few months ago and got a confirmed upgrade to J. Confirmed Chauffeur Drive in DXB and GRU. Called EK the night before the flight just to double-check and was told that my CD reservation was cancelled, because CD is not available for upgraded tickets. So essentially was left stranded, without the time to even pre-arrange my own transport at GRU. Made a big fuss and they promised to give me an "exception" on the way back and set up CD for me. The car, of course, never showed up, so once again I had to scramble to find my own transport to GRU.
Beware of EK - they are now trying to cut corners every place possible!