To me it is a Sun Tsu method of talking baout something enough to give an impression that your adversary then tries to plan against.
1st, they Chinese do no have the SAT of OTH capability to find our carriers and communicate it back to their launchers.
2nd, by the time the missile arrives where the potential target was, the carrier will have moved off several miles and they Chinese have not demonstrated any onboard target acquisition capability, which will be very hard for a missile to acquire and then manuever at the speeds they are talking about, and in the electronic environment that would suround a carrier geared up for war.
3rd The US has developed and successfully tested on multiple occassions the capability to use AEGIS in a BMD role and shoot down ballistic missiles.
So, this untested, untried, unrevealed capability will be charging hard into the teeth of one of our strengths if they ever do test it.
Finally, with FEL, we are moving towards laser defense of carriers which will definitely be geared towards missile defense, particularly anti-ballistic missile defense.
One of the rules of war: Never underestimate your opponent.