Herman,
I'm glad your tap water is so pure. Mine isn't. Washing LP's with my tap water, even filtered, leaves deposits that are both audible and visible. RRL fluids don't do that.
You posited a general theory that, "Whatever detergents, etc. that are added to the distilled water to make a cleaning solution far overshadow those in the tap water."
I'm afraid this theory does not match my real world experience. Is my experience just "bunk"? May I ship you some of my not-very-pure tap water to help you cool off? ;-)