Button rifling is usually, though not always restricted to the smaller bores. Far as I know, only Kreiger makes cut rifled match barrels and these are used primarily for long range competition, while about all the rest are buttoned.

Buttoned barrels must be stress relieved due to the induces stress of pulling the tungsten button through them, forcing the metal out to form grooves and lands in a tube that is smaller than the button's dimensions. There's a lot going on. I was in Hall Sharon's shop in Kalispel one day when they were buttoning some fairly soft, muzzleloading barrels. The whole shop was vibrating, which was quite incredible as it was a concrete shop. Lots of stess, but, buttoned barrels are very accurate and with good equipment and a knowledgable 'rifler', good work is done.

The most accurate 100 and 200 yard bench rest rifles have buttoned barrels. They sure look different inside, though. The largest buttoned barrels I've used was a .50 McGowen which would put 5 lead bullet loads into 1 1/2" at 200 yards off the bags - iron sights. My current .45 GM barrel, also buttoned puts 400gr. jacketed into 7/8" for 10 at 100 meters and 5 cast 525's into 1".

My most accurate barrels today are both both buttoned, a .30 and a .17, however I do have a cut rifled .69 that is a 1-1/2 MOA shooter at 100 yards and 1-1/4 MOA at 200 yards, with round balls and express sights.

They're both good. Take your pick - but - for deep grooves, cut is the only way to go.