Not quite exact, Siku. It would be right in a static system with infinite time in depth/and or infinite elasticity of the chest/diaphragm. In real word there is always some transpulmonary gradient. It is present even on surface (induced by respiratory muscles) - it is what drives breathing: positive gradient >> you exhale; negative gradient >> you inhale.
However rather than transpulmonary pressure gradient, I should have used the term gradient between the external/ambient pressure and the alveolar pressure. Transpulmonary pressure is correctly the difference between the alveolar pressure and the intrapleural pressure in the lungs. Anyway, principally it does not change anything on the claims, and it practically the same. I am telling it just for those who'd like to pick on such details.
So yes, when you dive, the pressure gradient grows, and the pressure gradient is what causes the deformation of the chest and diaphragm, the blood-shift, and even oedema. And yes, at small lung volume (FRC), the resisting limited elasticity of the body will be reached quicker, hence the gradient will grow faster, and the blood shift will be initiated earleir to compensate the pressure difference. And it is in fact a big advantage, because the blood drown away from extremities is still well oxygenated, and instead of being consumed by the muscles, it can supply the brain and heart.