first: this question refers to a definition of salinity (the practical salinity scale PSS 1978, which is documented in https://salinometry.com/PDF/UNESCO37.pdf) which is to some extent outdated. The updated definition of salinity is given with the thermodynamic equation of state of seawater (TEOS-10). Some information on this change can be found on https://www.teos-10.org/
second: the PSS is actually defined not in terms of an absolute conductivity, but as a conductivity ratio, i.e. the ratio COMPARED to the conductivity of a certain KCl solution. This makes a lot of sense, because conductivity sensors can have bias, that can drift etc. So it makes sense, when measuring conductivity, also to measure now and then the conductivity of a standard solution. This is how it is done when you want to do it at high precision. The standard that is usually used is IAPSO standard seawater. An introduction to the practical measurements is found here: