well, distilled water, as in a de-humidifiers case, is close to as pure as you will get it, given that the bucket was clean to start out with. Salts or soluble in the water, when boiling it, can not accompany the molecules when it turns into steam, and therefore, when the steam is condensed back into liquid, it's pure.
same goes with moisture in the air. Rain water, is mostly distilled, BUT, "first rain", can hardly pass as being clean, due to the massive amounts of Shit in the air. It's when it has been constantly raining for days on end, that the water captured at the end of such a stint, is very pure...
Why are you still using that De-humidifier as an air dryer....That is what's bogling my mind...