Pilson (1998, An Introduction to the Chemistry of the Sea, Prentice Hall) describes the precision of three common methods for measuring salinity in water as:
Standard Methods for the Examination of Water and Wastewater has a small section on salinity. The entire document is available in many libraries,otherwise it must be purchased from https://www.standardmethods.org/
I believe the latest edition is 22nd Edition, 2012, ISBN: 9780875530130, 1496 pages
Author: E.W. Rice, R.B. Baird, A.D. Eaton, L.S. Clesceri, editors
Publisher: American Public Health Association, American Water Works Association, Water Environment Federation
The international thermodynamic equation of seawater – 2010: Calculation and use of thermodynamic properties
It's always a contradiction between a "most suitable" and a "most accurate" methods. There are many suitable instruments to measure salinity, but only a few of them are most accurate (and most expensive).
The most suitable method to measure marine salinity is using submersible CTD probes. There are many companies, who manufacture reliable and accurate CTD probes. In my opinion, the most accurate CTD probes are made by:
https://www.seabird.com
https://www.rbr-global.com
The most accurate method to measure seawater salinity is a salinometry - the laboratory measurements of salinity samples. The most accurate salinometer is Autosal 8400B, with accuracy (in a practical salinity equivalent) +/-0.002, manufactured by
https://www.guildline.com
For the salinometry history, methods, instruments, calculators, references, literature etc, I can recommend my informational website: https://www.salinometry.com