All rifle barrels get hot from continued fire.
I shoot 2 or 3 rounds, let the barrel cool and then shoot another group of 2 or three when at the range.
BTW, my Winchester is a Model 70 Coyote with a medium heavy SS barrel chambered in 7mm Winchester Short Magnum. I can assure you, it gets hot.
NRA Chief Range Safety Officer, Home Firearm Safety and Basic Pistol Instructor
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Leonardo da Vinci