Not necessarily. There are plenty of good restaurants in and around Deira (Entrecote Cafe de Paris, in the Khaleej Palace Hotel, is a fun casual one), although the Marina area (where the Grovesnor House is) probably has a greater concentration, especially of more upscale places. For what it's worth, I believe that the Grovesnor House does not participate in Starwood Preferred Guest, if that aspect is of value to you.