No, The NCP's and objects should always fall faster then the player.

that isnt actually true according to newton's law of motion or galileo's experiments with inertia. if something has the same parameters (diameter,mass,height,weight,anything that defines a shape) then it dosent matter. this means that a 200 pound bowling ball will hit the ground at the same time as a 50 pound bowling ball of the same shape. paper is the only exception because its length and width are two extremes of the experiements