Unfortunately, I'm afraid it all comes down to how "cool" the manufacturers can make it. If their marketing literature convinces the general firearms buying public that CF is the "in" thing to have, then they will buy until the next cool thing comes along.
Case in point: Spiral fluted barrels. They're considered cool so people buy them up. I don't design firearms so there may be aspects of it that I don't understand, but I don't see how spiral fluting does anything but ad cost and weight to a barrel. And I mean adds weight compared to a barrel with the same diameter as the base of the flutes. Possibly a tiny cooling advantage. (Now, straight flutes are different. Steiner's theorem, increase in I, maybe a little better cooling, etc.)
I can see the weight issue as being a positive in situations where you're packing a rifle. Also, depending on the fiber orientation and fiber/resin fraction, a CF wrapped barrel will likely cool at a similar rate as a 416R stainless barrel (regular 4140 cooling almost twice as fast as CF or SS). But if marketing hype can whip the cool factor up for it, it will be a hit, at least in the short term.