Our tap water is ground water (no chlorine) and it does have a lot of those dissolved salts. And then I add Mg/Ca bisulfate when I acidify (about 3 table spoons a week in 300 liters for my potted plants).
I got a kit to measure hardness of different types, made for aquarium use and available in well stocked fish/pet stores.
https://apifishcare.com/produc...
and our tap water is consistently hard (pH >9). In fact it is roughly the same pH as the purified alkaline water that we drink.
I use only purified water for my baby seedlings (especially the ones under plastic) and for most of my clay pots, to avoid crust buildup. I also acidify the purified water.
In any case, the rain water must be a bit of a relief after all these solutes, especially when it comes in abundance over an extended period. It provides a far better flush of the soil than I could achieve otherwise.