When I stayed there early this month, Supervisor named Jose spoke with me. Said that vast majority of times, they'll upgrade Plats to suites if availability permits. Since they have a lot of suites used as upgraded rooms, and only a limited number of car service, It's very difficult for them to guarantee (not to mention costly) complimentary airport transfers.
I do understand his point. I'd rather have a suite upgrade than push for a free ride instead of not getting both. Anyways, they did offer complimentary airport transfer using BMW 7, loaned from Le Meridien.
Btw cost would have been 150AED, so not that expensive.