In my experience, Brita does do a pretty good job of stripping out mineral content.
I have a Brita filter that I use only for coffee brew water. It's not brand new; it's several weeks old, and I filter about 5 cups a day. I do always keep the water level above the bottom of the filter canister, as I've heard that keeping the carbon granules saturated extends their life.
Here were my last test results, using Aquarium Pharmaceuticals test kits for pH, KH, and GH. I also used a cheap HM Digital TDS meter, measuring the water at 75F temp.
Tap waterAlkalinity > 7.6 PH (alkaline)
71ppm KH, or carbonate hardness, also known as alkalinity (HCO3-)
107ppm GH, or general hardness (Ca++, Mg++)
TDS = 152 ppm as estimated by TDS meter
Tap water through
pourover Brita pitcher
Alkalinity < 6.0 PH (acidic)
27ppm KH
71ppm GH
TDS = 121 ppm as estimated by TDS meter.
I was initially concerned about the acidity of the Brita water, as ph neutral water is desirable for coffee brewing. Further reading indicated that the acidity from ion exchange might be temporary (see
http://brewery.org/library/FiltBrita0596.html), and sure enough, after boiling and then cooling, the Brita water returns to neutral (7.0) ph, according to the test kit.
So Brita water is my first choice for coffee brewing at the moment. The inline filter built into my fridge doesn't remove much hardness at all.
Subjectively, there is a noticeable taste difference between the fridge-filtered water and Brita water -- the lower mineral content water produces a brighter, cleaner cup when used to make filter coffee (Clever dripper, etc.) I haven't done a comparative tasting with espresso.
I've considered upgrading to an under-sink mounted system (i.e. Everpure) for convenience and longer filter life.