I agree: in fact the deionization process adds one hydronium or hydroxide for every (mineral) ion it removes:
>Deionization is a chemical process that uses specially manufactured ion-exchange resins, which exchange hydrogen and hydroxide ions for dissolved minerals
In other words, if deionized water is unhealthful because of a lack of ions, distilled water is, too, because it doesn't contain any more ions than deionized water does.
Distilled water is boiled and recondensed water, which leaves you with pure H2O (no minerals etc). It's safe to drink but pretty bland.