Don't know a lot about the subject, but as I will eventually get live steam I am trying to learn. My understanding of this thread is there are two type of water in discussion Distilled water and De-ionized water, and the lay person often considers these similar, but they are not:
Distilled water is the captures water evaporate that is then condensed, and if done correctly should not contain any chemical or particular contaminates, however, Distilled Water has the propensity to absorb Carbon Dioxide from the atmosphere and will gradually become acidic over time if left in an open container.
De-ionized water is water that has had almost all of its mineral ions removed, such as cations like sodium, calcium, iron, and copper, and anions such as chloride and sulfate, this will attack your boiler, in a bit to re-ionize its self, which is why it is NOT recommended.