The best of those whippy, 30" long slender 5 and 6 pound Palma barrels will shoot inside of 1/2 to 5/8 MOA at 1000 yards properly tested. That's the same as much heavier barrels of near equal length weighing twice as much in long range benchrest rifles shoot. The limiting factor is mostly bullet quality; getting a batch of bullets that are perfectly balanced is more important than meplat trimming or sorting by shape. 1000-yard benchrest group aggreate records include some 5- or 10-shot ones in the 6 and 7 inch range.
Shoulder fired in a Palma match with aperture sights, a perfect score of 450-45X shot on the targets 10" X ring, 20" 10 ring and 30" 9 ring doesn't happen very often. Individual USA record's 450-35X and four man team record is 1796-119X 449-39.25X average score) shot with a coach constantly watching the wind very closely and giving sight changes to the shooters. With a 1/2 MOA rifle and ammo at long range, add that to the 3/4 MOA holding area on target the best shots have plus 1/4 MOA non-repeatable shooting position issues from having to reload and go back into position 45 times and unseen wind changes that'll move a bullet sideways 1/2 MOA or more. . .all your shots will go inside a 2 MOA circle. Maybe.
One thing some rifle smiths and shooters know is the most often cause of barrels walking shots as they heat up is caused by the way the barrel's fit to the receiver. Few, if any, commercial factory receivers have their face squared up with their barrel tenon thread axis. This means there's one point on the face that's further forward on the thread axis than all the rest. Barrel tenons are well squared up when made; their shoulder's very square with the chamber/bore axis. Screwing that barrel into one of those receivers ends up with one hard contact point off center from the bore axis. As both metal parts expand when they heat up, a stress line starts from that point forward and causes the barrel to bend and whip more in that direction. With a scope on the receiver, the line of fire now moves off its intended angle relative to the line of sight; the bullet strikes away from the point of aim. As the metal temperature goes higher, the more the line of fire moves away from the point of aim. Everyone I've had tell me about their hot barrel problems all report the shots start stringing in the same direction each time. Same on three factory rifles I had that did that. So, if you receiver face ain't squared up right, deal with point of impact change as the barrel heats up.