Across populations the average salt intake is around 3.7 grams of sodium per day.
Sodium intake is actually regulated by the body, just like protein. Your body demands more salt when it needs it. Which means that around 3.7 grams might actually be the optimal amount of sodium intake.
There are many studies showing that the standard recommendation for reducing the salt intake is bullshit. Not only that, but reduced salt intake is linked to obesity and sugar cravings.
Also before refrigerators, like in the 19th century, people consumed a lot more sodium because salt was the primary way to preserve food, especially meat. All modern chronic diseases were rare back then ... and yes, heart disease was harder to diagnose, but improvements in technology can't explain it fully, plus we are also talking of diabetes and cancer.
For skeptics, I recommend reading "The Salt Fix" which provides a good overview of the history and of various studies: http://thesaltfix.com/
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I'm not saying that healthcare professionals are idiots.
The problem is that healthcare is reductionist. Studies that properly use the scientific method don't lie, but the problem is that people often reach the wrong conclusions.
It's like in that fable in which a group of blind people are told to feel and describe an elephant, only in real life some of the blind people have more political clout than others.