I personally think AShBMs (DF-21D and DF-26) both would benefit from having different warhead types, with a cluster munition type round being one of them... the purpose of which would not be to sink a ship of course, but rather to increase the CEP of the terminal warhead and allow it to tear up a carrier's topside flight deck which is a very soft target with the island filled with radars and people, and the flight deck with arrestor gear, catapults, and the flight deck itself... where a hit can have the ability to mission kill or otherwise cripple a carrier's ability to operate.
We know at least that DF-16 has a cluster munition type warhead.