hi.
Well, about 4 or 5 years ago, Craig gave me a lesson when I carelessly confused salinity with density. They are not the same thing, and you can't convert one to another unless the ions are in the NSW ratio. Basically, salinity is a chemical property, but specific gravity/density is a physical property. Argentometric titration of Cl- ion is most common test method for salinity, and HACH's kit probably is based on this methodology.
If you like doing titration, salinity test kit may be something you will use. However, there are many easier ways to find out how close your water is to NSW. Conductivity meter and refractometer are some of the accurate methods for measurement of density. Being a careless bump, I just use float needle.