Except they have one fuel powered carrier and less than a dozen nuclear submarines. Good luck getting within strike range undetected before being obliterated.
As of today.
That’s what their DF-21D ballistic anti-ship missiles are for. Those are MRBMs converted to antishipping duty instead of land attack. They have a reported 1340 mile range.
Their surface craft and subs are for mopping up after the carrier goes down.