I have an anecdote I feel like sharing. Please take it with a grain of... you know.
I've had hypertension since I was 17, but I never got on medication. I recently made the decision to completely give up added salt. I only ate my own salt-free cooking for about 6 months and I ate a diet high in meat, fish and vegetables. I did not pick up exercise. My BP dropped from 145/90 to 125/80 within the first month. I check my BP weekly and my average BP is 120/75.
My parents cook with a lot of salt, I notice this now when I eat at their place. I am confident that the high salt diet they "gave" me for so many years, combined with restaurant food, was the direct cause of my 5 year strugle with high blood pressure.
I could be wrong, but I am nonetheless very happy with the results of my diet based solution.