The R-0630 indicator is a potassium chromate solution. It is a shelf-stable solution and not subject to spoiling. The R-0718 titrant is a silver nitrate solution. As long as it remains properly sealed and not left outside in the heat or cold, it will remain stable for a long time. The chemistry of the Mohr method is such that the only positive interference with silver nitrate reacting with chloride would be in the presences of additional nucleophilic anion. Br- and I- will react with Ag(I) as they are strongly nucleophilic. -CN will react as well. None of those anions are usually present in pool water.
Did the reagents go bad … maybe. Perhaps the titrant was compromised. Mixing up a simple solution of table salt (non-iodized) in DI water would make an easy sanity-check.
As for a conductivity meter, that’s going to be inaccurate even with a standard chloride solution because pool water contains calcium and magnesium ions that will increase the total EC of the solution. Without very specific calibration methods to account for those interferences, it’s not going to be any more accurate.
I’d say buying a new K-1766 test kit is probably cheaper and easier than fooling around with an EC probe. But if having a second method is important, EC is probably a little better than test strips.