Yeah, best to let the barrel cool.
I did a log chop once, thirty people shooting in pairs at 4 inch square timbers propped upright in stands at 300 metres away from the shooting position. The winner was the team whose log was shot in half. I put 60 rounds through the rifle in under two minutes (.308) and the barrel was almost red hot. I was changing out the barrel after that shoot so figured I might as well. It was destroyed. With my long range guns I keep a logbook so I know exactly how many rounds it's fired and I borescope barrels at intervals looking for damage. They're precision instruments and I keep mine in top shape.
Wow, that is impressive! Totally next level compared to most of the stuff I have done or seen :) Now the big question is, who is the joker that downvoted your comment?
Nobody that matters.