My garden is half organic, and half hydro. The recent BW was hydro, finished with no flush. My last SOG was with Querkle (12 plants) in soil and Dyna-Gro, no flush. It all comes out the same, dank. I used to flush when I first started, but then I didn't flush a few times, and never noticed a difference, since then I haven't even thought about flushing and my buds get better and better. To each his own, I suppose.
It's simple plant chemistry, nutrients are converted into basic elements (whether it's hydro or organic, N is N, regardless of the source). Don't overfeed and you have anything to flush.
As they say, are you growing in a toilet? I can guarantee you there's something else going on if your buds taste like "chemicals". I've even tried bud from a grower here who doesn't have a final flush and feeds towards all the way to the end (personally I top off with just water the last few days) and that didn't taste like chem at all... you just gotta be a decent grower to pump out good buds.
Organic will taste better but that's because of the terpene production....