doing multiple reductions of large amounts of tap water might maybe concentrate some undesirable substances. using pure bottled mineral water will still, if doing multiple reductions, end up with high concentrations of alkaline minerals, like calcium etc. but ive used water from a tap filter, that was heavily mineralised, and had a whale of a time, so its not a fundamental necessity apparently. distilled water is also a nascent, "empty" water, that is naturally "hungry" to be filled and could possibly have more room in it, sans minerals, to hold actives, but it can't be much, if any, difference,,,just seems preferable if your gonna drink a concentrated substance, to have as little superfluous, inactive stuff in it.
i can use twenty litres doing two doses. 10 litres of mineral water minerals in a tiny cupfull??..who knows, might even help. our local tesco has mineral water that has only 10 mg of calcium in it and is even slightly acidic (why ppl buy it?) but for brewing it would be the best out of the bottled mineral water...so check for lowest calcium mg if thats what you're using but then chemist for distilled is just as easy. the more concentrated mineralised water gets the higher its alkalinty and that lowers its pulling power maybe...not alot i don't think
"only a closed mind is certain"