If you were to Google "barrel fluting and accuracy", you would find a bunch of reading material, and not all of it would agree on the effects of fluting.
Shilen is an example of another barrel maker that does not recommend fluting. On their web site they have as simple an explanation as maybe possible as to why they don't recommend it:
What about "fluting" a barrel?
Fluting is a service we neither offer nor recommend. If you have a Shilen barrel fluted, the warranty is void. Fluting a barrel can induce unrecoverable stresses that will encourage warping when heated and can also swell the bore dimensions, causing loose spots in the bore. A solid (un-fluted) barrel is more rigid than a fluted barrel of equal diameter. A fluted barrel is more rigid than a solid barrel of equal weight. All rifle barrels flex when fired. Accuracy requires that they simply flex the same and return the same each time they are fired, hence the requirement for a pillar bedded action and free floating barrel. The unrecoverable stresses that fluting can induce will cause the barrel to flex differently or not return from the flexing without cooling down a major amount. This is usually longer than a shooter has to wait for the next shot. The claim of the flutes helping to wick heat away faster is true, but the benefit of the flutes is not recognizable in this regard until the barrel is already too hot.
http://www.shilen.com/faq.html#question8
In addition, some smiths say that a cut rifled barrel can be fluted easier after boring and cutting than a button rifled barrel can in terms of accuracy effects and stress. Still many of those same smiths recommend fluting prior to boring. Also, how well the fluting is done by the individual smith may or may not induce accuracy robbing stress into the barrel steel. Good fluting takes time and requires very sharp cutting tools to do it properly. Hence a "good deal" from a smith in terms of price might not be so good in terms of accuracy
http://www.6mmbr.com/barrelfaq.html#24650
As I stated in my earlier post, I own some fluted barrels that shoot well. The rifles all have fairly heavy contoured barrels on them. But I also value the knowledge of the smith that tells me he won't do it on a bored rifle barrel. Maybe it is one of those "pay your money and take your chances" issues with quite a few variable thrown in that can affect the final result.
If you look at the issue of cryrogenics, supposedly it can "un-do" the effects of fluting in terms of barrel stress. But this too is a source of disagreement among both barrel makers and smiths as to benefits.
