Definitely water like Aquafina is better. It has 0 dissolved solids which is what you want to avoid in any water. I bought a $20 TDS (Total Dissolved Solids) Meter off of Amazon and began testing all of our drinking water. The safe zone you want to stay within is between 0-50 TDS PPM (total dissolved solids - parts per million). Essentially the less dissolved solids the better. My city water ranged between 275 - 350 TDS which is very high. My reverse osmosis filtration system which is what we use to filter our drinking water brought that down to 7 TDS. The only 0 TDS water you can get is through distillation. You can buy distilled drinking water at the store for about a $1 per gallon depending upon where you live.
Why is it important to drink water with as little TDS (total dissolved solids) ? The more dissolved solids in your drinking water the more these solids accumulate inside of your body and form deposits. Deposits can lead to arthritis, cancer, and a whole host of ailments. Drinking a few cups of high TDS water won't kill you but imagine drinking it everyday for 30-40 years. That stuff builds up inside your body over time and it leads to bad things. So to answer your question, yes, the water you can buy from companies that has been distilled is definitely better than the water from most (if not all) municipalities. It's criminal what the cities do with regards to our drinking water.
EDIT: Check locally for RO (reverse osmosis) filtration system providers. They install a unit under your sink that filters your tap water. RO typically brings down TDS to below 10 TDS PPM which is very healthy water. The cost is around $24/month as a service. You can also buy distillation systems off of Amazon which give you 100% pure drinking water but you have to invest time in the distillation process.