Carbon wrapped barrels are fine for hunting when one or two shots are taken. But remember you have a thin barrel under the carbon fiber. My son bought a Gunwerks Rifle carbon barrel in 6.5 x 284 Norma it's a great rifle. $$$$$ He "LEARNED" the hard way that you can't shoot long strings of fire. When the rifle was new he shot 20 rounds with cleaning after each 3 shot string at 100 yards. Good to go. Then he went out to 300 yards shooting 5 round groups, nice. 600 yards 5 rounds 10"+. 700 yards rounds spread out 20",???? My observation he was shooting too many shots without a cool down. I took the rifle apart removing the scope and base, cleaned it removing the carbon and copper. Remounted the base, rings and scope. Took it out to the desert zero'd at 50 yards with 2 shots. Fired 1 rd at 100. Moved to 200- 3/4", 300 - 1.5", 400 - 2" , all with 2 shots fired at each distance. Cleaned the rifle. The next weekend we confirmed data to 1400 yards with great results. All shots were in groups of 2 with a couple of minutes cool down between shots.
Again, it's a super thin barrel we have witnessed barrel flip if the shooter shoots a rapid fire string of 5 -10 rds. Accuracy goes out the door.
Key: Firm grip on the stock, snug against shoulder, consistent spot weld, sight picture, quarter the target, breathe, squeeze the trigger, follow through, maintain sight picture through recoil, sights/crosshair should settle on point of aim/point of impact.
Done correctly your shots should impact in a nice tight group.