Perhaps you are conflating pressure and force? Pressure is force per area, the area doesn't matter by definition. Similarly to how we measure rainfall in milli

Perhaps you are conflating pressure and force? Pressure is force per area, the area doesn't matter by definition. Similarly to how we measure rainfall in millimetres: volume / area = length. Whereas if you were to place a bucket of water on your head, the area of the bucket would surely make a big difference to the force you feel, all else being equal.