I have to start off by saying... Ok, science only goes so far...
Though I read an article recently in a well know magazine speaking about the whole soil vs hydro taste. They said it's all a bunch of poppy cock garbage about having a taste difference. Though I beg to differ really. Even my soil vegetables have flavor while the hydroponics I buy at the store have no taste. So I agree soil must have a taste. Maybe it's salt! Maybe since soil can't have all salts flushed, the plant dies with salt build up. Therefore, hydro is able to clear all salts because nothing is held within the medium..
What do you think of this idea?
As for a hydro method and being organic, I think you could look into doing beneficial teas and bat guano tea, blood tea, all kinds of teas. The plant is gonna eat whatever you give it as long as it's in the right amount without causing burn. Maybe in the end don't flush completely 100%, leave a light mixture, or pour in some coconut milk for some flavor. Its good for the plant anyway.