it would probably be fine, but why? it's like using ain water... if it is tainted, which we cannot tell with our eyes or tactile sense, it could cause problems. e.g. rain water is often acidic and full of pollutants if you live near or in civilization. God knows hat's growing in you aquarium... "natural" is a trap... what people perceive as natural only loosely correlates to health of the plant.
just because some people do it with no poblems doesn't mean it is a good idea. what benefit is it adding beside satisfying some personal belief? if you can see a benefit, than go for it, but water is ater is a rose is a rose... it's not 'better' fo the plant, in fact it comes with risks. People often think leaving water out for 48 hours is a good thing... the stagnation is easily worse than any loss of chlorine, which comes in such small concentration that it would never impact a plant you harvest in 4-6 months.
so, i would suggest keeping it simple.. nutrients are building blocks.. not "natural water" filled with god knows what.