Color me skeptical. That missile has to be actively guided in using external systems. The US has extensive defenses in-depth designed to defeat systems that work this way. The Soviets were doing it long before the Chinese were. It is a threat but I don't think the US Navy is losing sleep over it. The US deprecated systems with similar guidance models a long time ago because of their intrinsic vulnerability to defenses.

Also, it can't credibly "destroy" a carrier. The warhead is much too small. You could launch dozens, at high cost, but this is where the attackable single point of failure of these missiles start to become a problem.