Not useless at all.
EVERY frigate and destroyer and cruiser sized “warship” hit by even ONE weapon since WWII has lost either command, control, communication, or combat capacity for hours to days after that SINGLE hit. Sure, most have not sunk after that one hit. But none have been able to fight, flee, and maneuver.
Some of those hit - and over 50 have been hit by modern and improvised weapons - have lost propulsion. Some have been hit in the weapons magazine and lost defensive ability. Some have burned out. Some have had their hulls broke in half. Some have lost all radar capability. Some have had their bridges destroyed. Some their helicopter hangers. None, in any navy, have been able to keep fighting anything but damage control.
Now, a larger ship - you used an aircraft carrier in size asa an \example of a ship that can take damage - stays combat ready longer. But EVERY destroyer-cruiser sized surface ship - without exception - is put out of action after ONE hit.
Every time.
Thanks Robert A. Cook, PE.