I think that in top class competition is a bit of advantage on cut rifling vs button rifling - speaking on American side of Atlantic, for centre fire chamberings.
On web site precision rifle blog, where PRS sport is presented in detail, there is a clear breakdown of what barrel types are used by top shooters.
They use: Bartlein 43% (cut rifling), Hawk hill 26% (cut rifling), benchmark 7% (button rifling), Kreiger 2% (cut rifling), Lilja 1% (button rifling), proof research 6% (cut rifling), Truef lite (button rifling).
On European side, where ISSF sports are dominant, then button rifling is dominant (for rim fire), like Anschutz. Lothar Walther.
But again, for small production, this could just be tradition of the brand - where initial investment of manufacturer could have an influence in their barrel production, and the smaller production will always go for cut rifling. It does not mean that is better in start.
But personally for me, the difference in accuracy between the three (cut rifling, button rifling, hammer forged rifling) is getting blurred.
When factory rifle, with factory ammo, with hammer forged barrel makes 1/3 moa, and on long range distances > 600 meters most important factor is compensation of the wind, then intrinsic accuracy of the barrel looses the edge, over highend BC bullets where they get their dominance.
