My response was commenting on your comment about minerals and seemingly confusing CO2 (or acidity in general) with minerals. Distilled water is acidic, but it doesn't contain a significant amount of minerals (especially compared to tap water) which most people need.
> 1.) Do you believe ingesting anything slightly acidic is inherently bad? (is distilled water worse than fruit juice?)
Fruit juice has its own problems, but no. Our bodies have several buffers[1] that mean your blood pH (and other fluids) remain the same even if you add acidic or alkaline chemicals to it. This is required for enzymes in your body to function normally because they stop working outside very strict pH regions. (Of course this is a massive over-generalisation of the human body, and acidity can cause problem with people who have acid reflux or other stomach issues.)
In short, I agree that drinking something slightly acidic is generally as safe as something slightly alkaline (and a lot of the recent "take in more alkaline stuff" health trends are really stupid). My point was that (by the data given in the source you linked) that distilled water isn't "closer to neutral water" than tap water -- it's more acidic than tap water is alkaline.
> 2.) Is there more carbonic acid in distilled water vs soda water or coke/pepsi?
No, because soft drinks are carbonated (more dissolved CO2, more carbonic acid). If you made them flat it might be about the same (though there's plenty of other acidic crap in soft drinks).
> My father is a chemist [...] he didn't seem to think it was an issue.
Well, maybe he didn't know of or consider the importance of minerals. The point isn't that distilled water will kill your or anything, it's just that drinking nothing but distilled water (when you have access to clean tap water) is not a great idea because you're missing out on a several minerals that you now have to get from elsewhere.
[1]: https://en.wikipedia.org/wiki/Buffer_solution