You know I am very new to water wrestling. This post helped me too.
Of course, there is the other side of the coin, when the water treatment, or none at all when it is essential, produces both low efficiency and poor beer, but that isn't particularly common, most especially with British water supplies.
Calcium will lower mash pH, protect enzymes from high temperatures, deposit oxalates, aid yeast flocculation and a number of other beneficial influences, but there are some who think its presence isn't necessary, indeed harmful and produces minerally tasting beer. If they are correct, my beers must be undrinkable.
Balancing the chosen grains to the levels of calcium and alkalinity to achieve an acceptable pH is a very important step in brewing, so it is important to know what one's water supply contains and how it can be treated, plus what influence all the ingredients have, Pale malt requires low alkalinity plus decent calcium level to achieve an acceptable mash pH, unmalted grains will mostly increase mash pH, while darker grains, malt and crystal will lower pH. Without a pH meter all this is guesswork, but I've known many brewers whose guesses were remarkably good.
Sometime past, Wallybrew did a series of analyses of my water, which comes from a single source, but does vary dependent upon rainfall levels. From those I produced a series of first, second and third order equations to derive the level of each major ion from a single reading using a TDS meter. From those a spreadsheet was produced, enabling me to play with acid and salt additions to the anticipated water supply of the day. The following is a screenshot of the profile used in my recent Green Hop brew. Please don't ask for an explanation of how the individual ions were determined, but if you are familiar with spreadsheets the rest should be obvious.

- UnGreen Hop.jpg (206.61 KiB) Viewed 8460 times
I use individual acids, but CRS/AMS would produce the same outcome as the mix used here, although the amounts are less as my acids are less dilute. Many Americans and their followers will tear out their hair if reading that, but the beer is a delight, not minerally in the least, but it does have beautiful delicate aroma and flavour.
Due to the recent dry period, my water on this brewday was the hardest it has ever been since I began water treatment.
Without patience, life becomes difficult and the sooner it's finished, the better.