No, I am not accusing you of lying. I do think that, somewhere along the line, you have misunderstood the level of salt reduction in Commercially Available products.
Should you be requiring extra salt in your diet, no Doctor would rely on the random quantities salt included in Mass Market foodstuffs. Different Brands of the same product can contain wildly differing percentages of salt, which would make for a very unreliable way of controlling your intake.
If you were to take Butter as an example. Of course there is Unsalted Butter. Then there are several dozen different brands on the market which contain between 0.005% and 3% salt, and all are described as "Slightly Salted". That is before one examines the Salt content of "Salted Butter" and, of course, Cheeses.