Eh. No.
No one takes a blank and just wraps more carbon fiber around it. To the best of my knowledge, they all turn town the blank and then wrap it. So whatever they start with is somewhat moot. It gets pencil thin at some point. Then it gets wrapped.
Equal weight, carbon fiber is stiffer than steel. Period.
I think however that theoretical concerns are secondary to real world observations. What if there are more internal stresses in one barrel versus another? If you cut that barrel down, it might move just a tad. Maybe cut rifling has less internal stresses? Maybe a little movement is meaningless? So why do people shoot heavy barrels, if movement is meaningless?
On average, I think a CF wrapped barrel is more accurate per unit weight for first shot.
Heat dispersion is a valid issue. I cannot ever believe that a CF wrapped barrel can disperse heat as well as steel. It was sort of claimed by some manufacturers. I think however again its an issue of weight. A CF barrel of a given weight will have a much larger surface area on the outside versus a same weight steel barrel. So the rate of heat dispersion from the surface *might* be better for the CF barrel. But how well does that CF barrel move the heat from internal to external surfaces? Might be cooler on the outside, hot has heck on the inside. Not a good move.....