Cut rifling produces less stress and leaves the barrel that way. Less stress means more temp stable, and less bore distortion with contouring/finishing.
So if your putting together a HUNTING rifle with balance and reasonable weight, maybe a muzzle brake
, and count on the first shot, this is the way to go. It is also accurate w/regard to spec (you get it with correct twist as ordered, etc).
There are perspectives that button barrels are more difficult to screw up. That it's easy to make them very good.. They will hot group as good as any cut barrel, but I know of no advantage to button over cut.
There is reality that waiting lines exist for good barrels of any make, and way more button barrels are made & available than cut. This might tip your scales towards them.
Do you group shoot or hunt?
If you group shoot, grab any of many good button barrels(why wait, appease your gun builder).
If you hunt, get in line for a cut barrel (and order extras).