Distilled water *is* virtually non-conductive. It's only the salts and impurities in tap water (and/or river water etc.) that make it moderately conductive.
It's not only the salts. There is some natural ionisation that will result in free H+ and OH- ions. You can't really escape that so even mineral free ultra pure water in a perfectly sealed sterile container (of a material that won't release minerals as the water desperately tries to leach them) will still be *slightly* conductive.
Also pretty much as soon as it came into contact with the guts of a PC it will absorb enough minerals to become conductive rather quickly if it hadn't already done so in the cooling loop of a cheap Watercooling system.