I agree that any destroyer on its own was in grave danger from air attack.
The RN lost many destroyers that were acting on their own or in loose cooperation with other ships, usually withdrawing troops without air cover.
They were attacked by very professional bomber crews who had a lot of experience and were well motivated.
I do not think that USN destroyers in the same position would have fared any better.
Just to provide some more data:
Coral Sea:2CV, 5 CA, 9DD.
At Coral Sea they claimed 49 AA kills of which about 37 were claimed by the USN carrier TG and they got 3. DDs in the CV screen claimed 11.
Midway first attack: 1CV, 2 CA, 5 DD
2nd attack: 1CV, 4 CA, 7DD
At Midway they claimed 20 AA kills and got 3. DDs claimed 8.
Eastern Solomons: 1 CV, 1 BB, 1CA, 1 CLAA, 6 DD
At Eastern Solomons they claimed 30 and got 4. DDs claimed 5.
Santa Cruz:
two forces:
1Cv, 1BB, 1 CA, 1 CLAA, 8 DDs
1CV, 2 CA, 2 CLAA, 6 DDs
Total: 2CV, 1BB, 3CA, 3CLAA, 14DD
At Santa Cruz they claimed 127 and got ~25. DDs claimed 22.
Yet the actuality is that USN destroyers probably shot down no aircraft in the first 3 actions and only a handful at Santa Cruz. All USN ships had progressively augmented CIWS by Coral Sea and none fought with their pre-war (design) CIWS. most had AA FC radar at Coral Sea and all by Eastern Solomons.
The first large scale air attack on the RN was on April 09 1940:
Two forces:
2 BBs 5 cruisers, 7 DDs
4 cruisers 7 destroyers
total: 2 BB, 9 cruisers, 14 destroyers (all ships had their pre-war AA/CIWS armament)
Attackers: 47 Ju 88 and 41 He111
Losses: DD Gurkha, several ships suffer minor damage; 4 Ju-88s shot down. Several He111s might have been lost as well, but this is unclear.
The RN forces were not concentrated and the only loss was Gurkha, and this occurred when she detached herself from her flotilla. At the time the RN was under the impression that only one Luftwaffe Ju-88 was shot down - another example of the RN being very conservative in its AA kill claims. None of the RN ships had AA FC radar but the BBs had air warning radars. The weather conditions were quite severe which greatly hampered destroyer gunnery, in sharp contrast to the Pacific actions where in each case the weather was quite calm.
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