ArcticDiver:
Once in a current the size of the object makes no difference in its' speed. The current will move all items at the same speed regardless of size.
Taking into consideration my somewhat minimal dive experience, counteracted by my quite extensive flying experience, and considering that the difference between air and water is about 33% in density, I can tell you that
in theory alone, this is only true when the mass of the object is undisturbed. So if we're talking only about the size of the diver, then the statement is true.
This is a question of area. Newton's second law of motion states that Force=Mass X Acceleration (F=MA). The product of greater mass, times the acceleration (the current), will result in greater force, which will affect the diver when you add the coeficient of drag to that equation.
Inflating a wing in a current is no different than trying to land in high winds. When I flight instructed, I taught my students to use 1/2 the amount of flaps used in normal landings when landing in gusty conditions, or in high winds, if any at all. Applying this to diving, in a current of about 1 - 2 knots, or better yet, as Walter puts it, "when the bubbles are going down," there is no question that inflating a wing will require stronger finning, as in the aircraft, using full flaps in high winds will require about 30% more power to land at the same speed (Newton's third law of motion, "for every action there is an equal and opposite reaction"). Hence, if you inflate your wing in a down current, and you're unable to keep up the propulsion necessary to counteract for the increased drag, there is no way you're going to avoid a greater speed going down than if you don't inflate the wing and try to swim out of it, or do something else to avoid it.
Semper Safe,
Rick