RO is the most pure, but do not DO NOT drink it. Ahem. DO NOT.
In terms of ion content, it is the purest, and therefore the most dangerous. It will cause electrolyte imbalances, leaching vital minerals like Na (Sodium), K (Potassium), and Mg2 (Magnesium) right out of your body. Depending on the severity of the imbalance, you could suffer from diarrhea, cramps, severe muscle contractions, deficient neural transduction, and death.
DO NOT DRINK IT. DO NOT GIVE IT TO YOUR ANIMALS.
Any potable water should be safe for both you and your animals. I suspect the others are correct in that the concern with the mister is mineral build up.