Well, whatever you say - your gun, your scale.......but that 375 barrel is heavier than what's on a standard mag on an XCR, which I have handled & those just don't weigh 6 3/8 lb..........that what my KS weighs & XCR's have heavier barrels than KS's do & weigh more.
So something just doesn't add up.
MM
My XCR .270 WSM with a 6X leupold and weaver mounts was a hair over 7 pounds all up...so ya...they aint no 7 3/8 pounds....