Carriers need escorts. Escorts also get hit. Now we really are talking numbers.
There was the one the Echo 2 hit in the Med. There was the one that got dhowed in Aden. There was the one, capable of 30 kts that had to shoot down an aircraft doing 400 kts.
I am sure there are more incidents where the presence of the carrier caused the escorts to stand in harms way. I don't mention the FI of course.
Then I read the New Jersey's ROE. This was peacetime but she still had to stop somewhere in the Med. Bottom line, she would let fly with 15 inch guns.
Aircraft? They just go home.