They have compared a diet with a sodium intake close to the lower limit of the recommended intake, with a diet including an even lower sodium intake, slightly less than normally recommended.
A daily sodium intake in a relatively wide range around the recommended daily intake (which is of about 4 to 6 grams of salt per day) is not expected to cause any differences, so the results of the study are not surprising.
The recommendation to eat less salt is only for the people who eat mostly industrially-processed food, which always includes excessive quantities of salt and sugar, because they are among the cheapest ingredients, while enhancing the taste of the food.
Such people typically eat 2 to 3 times more salt than recommended, and only for them it may be expected that lowering the sodium intake can reduce the risk of diseases. However, lowering the sodium intake is not easy for them, because they must begin to eat something different, since the excessive salt is not added by them to the food.
Otherwise, lowering the salt intake much under 4 grams per day is a serious risk, especially for older women, and especially when they also take medication against high blood pressure.
Hyponatremia, i.e. having a too low sodium content in the body, manifests initially with symptoms like muscular weakness, constipation, lack of appetite and problems with the equilibrium, which may result in falls.
Such symptoms may be difficult to distinguish from just consequences of old age. If hyponatremia is not diagnosed in time, the consequences can be extremely severe, including the loss of life.