I can't find fault with that article. (other than the unspecific use of 'neutralize"). Sodium is soluble mineral and will eventually dissolve away/ dilute. It is initially burning the weeds' roots, but the weeds should be able to grow back. We had similar results with a small experiment with vinegar on weeds.
Might be worth a try, just begin cautiously until you see how it works. And like any weed killer, use as little as needed for the control you want.