According to Henry's Law, gas diffuses across a permeable membrane due to the difference in partial pressures on either side. As gases cross the membrane, the partial pressures change as gas leaves the zone of higher pressure and crosses to the zone of lower pressure: This reduces the difference in pressure and thus reduces the rate of gas diffusion.
As a little thought experiment, imagine that you stopped breathing altogether: Clearly, the nitrogen in your lungs would eventually reach equilibrium with that in your blood, and you would stop absorbing nitrogen into your bloodstream. So IMO, the more rapidly you breathe, the more rapidly you are refreshing the air in your lungs with new air that is higher in nitrogen, and the more rapidly you are absorbing nitrogen.
I believe you are correct with this, but with reasonably normal breathing the difference would be very minor.
Maybe it will help the OP if we went back to the beginning and stated the whole process in a different way.
When you breathe, the nitrogen in your lungs comes in contact with blood supply there. The molecules move randomly. If you have the same amount of nitrogen in the air you are breathing as in the blood and the tissues, the random motion means that there will be just as many molecules moving in one direction as another. We say the tissues are at equilibrium, and there is just as much nitrogen in the air as in the body.
If you descend to 99 feet of sea water, every breath you take has four times as many air molecules as it did on the surface. That means that four times as many molecules are going into the body as are coming out. In the extreme (and, of course, impossible) situation Mike describes, most of the nitrogen would have left the lungs, and the diver would be at equilibrium again. This, of course, does not happen, for the diver keeps exhaling the (somewhat) nitrogen depleted air and replacing it with a fresh supply. This means that the blood and tissues will not reach equilibrium until the tissues have caught up with the amount of nitrogen in the air supply.
Mike's point is that if the air lingers in the lungs longer in one diver, the rate of transfer slows down more (albeit briefly) before the next batch of nitrogen-filled air comes in to replace it. That will, in theory, make a difference. I doubt if it will make very much of a difference, though, and it is almost certainly not something to be concerned about.