This explanation does not take into account diffusion, which is what's really driving the process. It's the inert gas concentrations which are trying to equalize, not physical pressures. You will off gas inerts more quickly if you switch to a breathing mix containing less of them, even if you don't change your position in the water column. That's why technical divers switch to higher O2 mixes as soon as they can safely do so, not because their bodies have any use for the extra O2, but simply because those mixes have less or none of the inert gases they're trying to get rid of. Another way to get a breathing mix with less inerts than those present in the body is to ascend to a shallower depth, in which case the concentration(aka partial pressure) of the inerts in the breathing gas is less than that of the supersaturated tissues, again driving diffusion across the capillary beds into the alveoli. Ascending too rapidly has its own dangers however, if the ambient pressure is reduced to the point where the supersaturated tissues begin to release their inert gas load directly, before its being cleared in the lungs, leading to inflammation and blockages.