Unless the water is very high in minerals, I haven't really noticed much distinguishable difference in taste between tap waters at various major cities/metropolitan areas. I'm definitely not a water aficionado to tell though.
I can see how people may psychologically (or psychosomatically) establish a taste difference between water from the sink and water from a plastic bottle based on perceived cleanliness and hygiene. There are times where I would rather drink filtered water from the fridge over the sink (even though both come from the same water line in the house), like if there's dirty dishes in the sink.
Overall, I think drinking from the fridge tastes the same if not better than bottled water (plus it's always chilled from the fridge), and costs less than bottled water overall (I let my filter go like 6mo past the replacement notification before replacing it). The only thing that sucks is replacing fridge filters, which are the ink cartridges of refrigerator companies.
Drinking bottled water at home when there are cups, reusable bottles, and chilled filtered water sources seems unnecessary and excessive.