You are simply mistaken on this topic, probably due to only reading click bait or nationalistic articles on the topic.
Carriers are by no means obsolete, and ballistic missile defense is one of the things the Navy prioritizes heavily, and has done, for ages. Even for the DF-21 a carrier strike group is a tough nut to crack.
China's carriers are still a couple generations away from being at parity to the US fleet.
Sensationalized bait headline articles are not a good source for learning about this stuff. https://twitter.com/RickJoe_PLA writes for the large media brands with some regularity, and is strict about sticking to a substantive factual basis for everything.
Carriers are by no means obsolete, and ballistic missile defense is one of the things the Navy prioritizes heavily, and has done, for ages. Even for the DF-21 a carrier strike group is a tough nut to crack.
China's carriers are still a couple generations away from being at parity to the US fleet.
Sensationalized bait headline articles are not a good source for learning about this stuff. https://twitter.com/RickJoe_PLA writes for the large media brands with some regularity, and is strict about sticking to a substantive factual basis for everything.