Stronger meaning the barrel won't bend during the shot? It still doesn't counteract the forces as a heavier barrel would. Unless there is some way of compensating for the "reaction" to the "action" the barrel will tend to move easier during the expulsion of gases.
Yes, the carbon fiber barrel does not have as much "whip" action as steel.
You have to understand the construction. There is a steel barrel that is wrapped in carbon fiber thread in multiple directions, giving incredible rigidity and light weight.
Carbon fiber also does not have hard and soft spots like steel can have that creates harmonic issues with accuracy.