Simply Tom is giving an example of how minerals can be removed from water by ClO2 treatment. He is telling us what he knows on this suject.
He is assuming a similar effect will occur if minerals in the gut or blood are there at the same time as ClO2
As for taste this demonstrates that the mineral content of the water has changed in some way. Presumably some minerals have precipitated out.
I haven't found anything to confirm this and I don't think Miracle-Mineral-Supplement makes any essential minerals unavailable with normal usage.