Yah, distilled water is supposed to be free of impurities and other "junk".
Spring water or filtered water can contain minerals or added vitamin or whatever for tastiness or flavor.
... that's what I got from Google anyhow.
If you were in the middle of the desert and you urgently needed water, I'd put any type of water in there just to get the car moving and to somewhere "safe", then take it to a mechanic and run a flush, not just drain and refill.
If you're in the city, it'd be ideal to used "distilled" water to prevent any contamination to the internals of your engine; contamination of the radiator is not the concern, but the internals and channels within the engine are is what I'd assume (ie. gunked radiators can be replaced easily compared to gunked engines

).
You can technically drink distilled water

, but due to the natural tendency of everything to balance out (what's that word we learned in bio?) you can "leak" nutrients and whatever from your cells into the distilled water you intake... but that's getting OT.
you shouldn't think of it as "well, I can drink distilled water and spring water - whats the difference?"
Your body can filtrate stuff out. Your engine is not as advanced as your body
