Water on the ship whether from ashore or made on board varied from day to day.
Yes, chlorine was added but not to higher doses than you would find in any other municipality around the world.
Water was not taken on in every port that could provide it because there might have been doubts that it was of suitable quality. Even though the locals drank it.
Occasionally the chlorine dosing equipment might "throw a wobbler" and overdose. Once that became known steps would be taken to correct and dilute the water. However, sometimes the water did taste of bleach.
The problem had a knock on effect because this is the same water that fed the 38 ice machines on board, all of the soda machines the 250 gallon soup cauldrons and some would even say the draught beer in the bars! Kidding, or am I?
Constant monitoring of the chlorine in the drinking water was required by both US and UK health authorities and printed graphs were kept for 2 years, I believe, as required.
Water quality differs in every city and town in the world from distances as little as 30 miles apart as I am sure you have all seen in your travels. This will depend on the source, spring, river, lake, reservoir, well...etc, etc but also by the way it is sanitized. Bleach, called chloros at sea UV light etc, etc.