Basically for the past two years Dom has been riding his production versions exclusively; it is currently a compression molded board. In the past he rode hand shaped versions or prototypes of the production model. Chase usually rides hand shaped 'blue print' boards or prototypes, but will sometimes pick up the production boards for shoots and events.
It is a testament to Dom's skill, not necessarily a difference in boards. There is a lot less of a difference between production skim models and more high end or custom models. Custom skims allow the rider to specialize the board for them, but it is not necessarily a 'better' board. Higher end models use higher end manufacturing/materials. Dom is a powerful surfer, he can whip around most any board, even a comparatively heavy board.
The real amazing aspect of this is that he flips a 20"+ board in a mouse size pocket.