So according to Emirate's page, after completing two round trips, I would receive an email asking about the delivery process/address to the card to be sent.

I'm aware that most members had problems with that in the last few years. Is it still happening? Why won't Emirates deliver? I sent an email half a year ago and haven't got any reply from them. I traveled with other airlines, and after the trip, they immediately send me the membership card without hesitation.