I disagree completely. Batman even states in Begins that he needs to be theatrical to scare his enemies. That's why he becomes Batman in the first place. If anything, an organic suit fits the character better than the puzzle piece suit we saw in TDK.
And no, the suit shouldn't reflect the technology because that completely defeats the whole purpose of becoming Batman.
Also, I want to make it clear that while I want Batman's costume (remember, it's a costume) to look organic, I obviously don't want it to be his real skin incase you were confused on that.
Lastly, don't feed me this nonsense about practicality when Batman wears a cape and chooses not to cover his mouth--those are two things that would without a doubt hinder him in battle, but we accept in because it's a man who dresses like a bat to fight crime. Fantasy.