Here's some info I got from two manufacturers that I think shows some of the lab peoples' thinking.
Advanced Nutrients support told me in email that ideally their nutrients are used in water with very low or no other mineral content. (I'm guessing that that allows you to have a simple, well defined solution with no hard water "wild cards" throwing things off?)
General Hydroponics makes a hard water version of their FloraMicro fertilizer. Called Floramicro Hardwater (approximately enough) GH says "FloraMicro provides rapidly growing plants with a combination of chelated micro nutrients uniquely formulated for hardwater conditions."
GH recommends using the hard water version if your water reads 250 total PPM or higher or 70 PPM Ca. (Interestingly, they only make a hard water version of that one bottle in a three bottle solution. There is no hard water version of FloraGro or FloraBloom).
If memory serves, GH also recommends using a mix of FloraMicro and FloraMicro Hardwater for lower levels (like if you have 125 PPM, use 1/2 regular and 1/2 hard water?).
All that said, I was just on a thread with a guy here the other day whose water reads about 320 PPM and he says his plants do fine with no special treatment (however, he was posting about some weird calcium problem he was having, and his water pH was in the 8s--not ideal).
I hope that helps give at least an idea?