Reading hands of royalty is fascinating as the environment tends to change them, resulting in some differences in their left and right hands. The active hand (the one with which one writes) shows the current active personality while the other hand shows the subconscious or inherited qualities.
Royals usually lead a life of luxury and don’t need to earn their living and this can change who they are. That is just one aspect of it. The second aspect is that royals generally get adulation from their people, more so if they are attractive, well-turned-out and active in social projects. Thus their primary motivation is different from that of the average person.
In the case of Sheikh Hamdan al Maktoum, the crown prince of Dubai, the right and left hands do differ.