The carbon fiber is going to be lighter, and will have less angular momentum, meaning that rpm changes will happen more quickly with rapid throttle movements.
I've noticed with my RPM set at 2500 (Whirlwind carbon fiber prop) when I run a tank dry to the point of power loss and switch over, the engine will of course surge when the fuel reaches the injectors again, the governor will catch it at about 2750-2800 rpm. I'm not sure how much overspeed you would get in a similar situation with a metal prop.