Proof Research wraps their CF barrels in a "Maypole ribbon" fashion with intertwined criss-cross CF strands in a resin matrix. This is the same process used in Sweden by SWIX to make their CF cross country racing ski poles. I have a pair of those XC carbon fiber poles from my XC racing days and they are far stiffer than aluminum poles.
So I put my money on Proof for the stiffest AND most uniform CF wrapped barrels. Christensen may make decent barrels but I'd bet their stiffness is not as uniform as Proof, and uniformity means consistency.
So what if your all steel bull barrel is as stiff as a proof barrel? Well for one it will not be as cool as the Proof barrel nor as light. If you shoot PRS do you really want to carry a heavy bull barrel around?
Eric B.
BTW, it has been shown that heat, far more than friction, is the major cause of throat and land erosion in barrels so less heat = longer barrel life.