It's pretty well know that a flatter radius is meant to improve shredding, and a more curved radius is meant to improve chording - hense the invention of the Compound Radius.
BUT...
IS IT REALLY ANY BETTER..?
The reason I say this is because you see players like Yngwie Malmsteen using a Fender neck which is just over 7", and all he does is mainly shred.
Then you see players like Petrucci using 20" Straight Radius necks, and whilst he does shred, he also does a hell of a lot of complex chording which involves using the frets before the 12th.
Thirdly, Acoustic Guitars are known to have very flat necks, especially Classical Guitars. But isn't an acoustic guitar well know to be used for chording, etc. 99% of the time?
So looking at the above, what do you lot think? Oh and before anyone says it, I know a flatter radius lets you have your strings closer without choking.