Is there shuttle from the hotel to any of the Malls? Stayed 2 years ago no don't remember swing one, apart from one between the 3 hotels.
Yes, there is a shuttle to the nearest mall which is Mall of the Emirates and it is complimentary. During check-in you will receive a welcome sheet with all useful information about the free shuttles to the mall, free boat trips to One &Only on the Palm, restaurant times etc. Be aware that you have to organise your own return journey. Allow 35 dirham, approx £8.
Get an answer from Arabian Court at One&Only Royal Mirage Dubai staff and past guests.