Mike and I drink the filtered water from the fridge. The tap water is used for showering, teeth brushing, cooking, though when I make rice, I use filtered water.
We have a water softener...had one in CA (very hard water in our area) so got used to having them. We do not use a sodium salt in the softner, use a potassium salt.
Water is my beverage of choice and I'm particular about how it tastes. The water from the fridge, through the filter tastes good to me. The stuff from the faucet, not a flavor I like.
We all came from other places with different water supplies....and the water tasted different. We got used to it where we lived or we bought bottled water, got a filter or a reverse osmosis system.
When we were first married and living in northern MA, the water there tasted absolutely horrible...more like the river it came from, mud and all. That taste I NEVER got use to...