Since I do sell top tier barrels using both methods, I will throw in my 2 cents.
In F class, there is a perception that Cut rifle barrels are more stable and last longer. Top shooters have had success with the better cut rifled manf and thus other shooters follow suit. Bartlien has done really well in the last few years when Krieger was unobtanium (long story) and top shooters used them cause that was all they could get.
With success, some have stayed and of course done well. Great... and then other top shooters will use brand X and win... then the pack will move that way. There is a lot of herd thinking wrt to competition shooting. Sometimes it is well justified. other times, more fashion then fact.... as much as the top half of the roster at the US Nationals F class competition used cut rifled barrels..
So did the bottom half
I have podiumed with both styles of rifling as have others. If I could pin down cut or button was ALWAYS better, I would focus on that. So far, it depends... and there are pros and cons to either set up.
When you look at other disciplines, other styles of manf make it to the top... so either style of rifling can and does make superb barrels.
What type of rifling dominates 50BR shooting?
What excites me is that some barrel makers are doing some very interesting and innovative experimentation to address various concerns for sports like F class and PRS. I have had the pleasure of working with both Shilen and Krieger to help with some R&D over the last couple of years.
Some ideas show alot of promise.. others were well, not such good ideas. But innovation is the only way to move things along
With so much going on with external ballistics, these barrel makers are looking at internal ballistics to see if they can give those slippery bullets a boost. Eventually, there will be subtle but important changes. Some will try it, maybe do well, others will follow.
All I know is that in competition shooting, NOTHING is ever static and nothing dominates for long....
We all win..
Jerry