Dehumidifier water is neither deionized nor distilled. The water that is coming off of the evaporator coil will be severely contaminated with all types of airborne particles and molecules. If you want to see what's actually in that water just notice how much you have to clean the drain pan in the dehumidifier, or any refrigeration system for that matter.
Condensing water doesn't mean that it's clean, it's all a matter of how it is condensed. If you're adding heat, such as boiling and collecting the condensate, that will be almost as pure as you can get without some type of filtration because water molecules boil off before any of the other minerals in the water. When your A/C or dehumidifier coil collects water, it's actually removing heat energy so nothing ever boils off. All of the minerals stay in the water and collect on whatever medium they come in contact with.
If you like boring reads, search 'home AC dirty sock syndrome', you'll learn all about the airborne molecules that collect on an evaporator.