That would imply that weight and buoyancy are equal and opposite and therefore cancelled out. That is often not the case.
A diver may also generate hydrodynamic forces which cause the water flowing over his body to cause lift or drag in both the vertical or horizontal planes. This is much the same as an airplane may climb, dive or turn even though the force vector produced by its engines is directly forward. Forces produced by its control surfaces perpendicular to its direction of travel influence its direction.
New divers frequently have difficulty maintaining trim and control in the water because they have not yet learned how to use their bodies to control their direction of travel through the water.
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