At the moment, when you're fully packed (or at any level of encumbrance), you can still swim and not sink to the bottom of the ocean like a brick. This is of course highly unrealistic.
Your level of encumbrance should affect how much energy you use in your effort to stay surfaced and when that energy is depleted and fatigue kicks in, you should sink to the bottom of the ocean and drown. Unless you sacrifice your backpack and (some of) your equipment.