Owning proof barrels as well as steel I am not sure how you check the temp on them. Valid question in my eyes. Mine get warm exterior but not hot. I have had two duds out five with proof. I am on pause with them currently and back to steel. Still building with proof but many don’t shoot enough to notice barrel behavior. No customer complaints to date just my personal one. Go figure. Bad luck maybe. One bad barrel is 7-08 1-9 a sendero chambered and gun smithed by Proof. Other is a 280AI sendero light. Smithed by kampfeld. Doubt the Smith was a problem in either. Point of impact shifts are the problem I am seeing as well as vertical stringing. These are hunting rifles with short shot strings and low use. Noticed during load development and verify dope. Appear great shooting a cold bore threee shot group from the bench.