There's information on both sides of the debate.

I used distilled for a long time and feel noticably better with good mineral water. This is subjective to me. Others do what they want and tell me I don't know squat and I will say do what you want.
I check my bone density with a very scientific bone density test thats going to make the medical staff roll their eyes. I look at my teeth in a mirror with good light behind them. If they are looking translucent/ clear then I know that there's a need to work on my diet AND supplements. Absorption may be an issue as well.

I also use supplements that restore the lost tooth enamel, which most dental schools apparently still teach is bogus. They seem to teach that teeth are like dead wood furniture rather than living dynamic bones that change over time. But I digress.