We can always find instances where a weapon system has suffered unusual failures or successes. Thats what historical records tend to record....the highs and the lows of something. But that does not mean that an exception makes for the rule.
I have no doubts there were many instances where the 5/38 achieved poor results, including poor rofs in a particular action. i have no doubts that the 4.7 at times achieved outstanding rofs. thats stands to reason. Neither gun was a perfect or complete wepon system.
But the exceptions dont establish the norm for that weapon. The extremes that we can find documentation on will simply show the depths and the highs that a particular weapon system will achieve. Sort of anecdotal snap shots of the statisitcal spread for the weapon.
In my opnion the published max rofs for these weapons are probably the way to start. Ive tried to point out that max rof is different from pracxtical rof, and still believe that to be a factor, but simply to avoid having to go through the pain and suffering of yet another propaganda lecture, lets just agree to use the published max rofs. That puts the 4.7 published figures at 12 rpm for me, and the 5/38 at 15-24 rpm. I do not accept that the British DCT was any faster than the Mk 37 directors, so dont even try to argue that, your just wasting your breath with me. Lets compromise and settle for the middle ground with the 5/38, and say that it had an average rof of 19 rpm. That means on average the 5/38 will be 50% faster than the 4.7, so 4 x 5/38 is the same in terms of output as 6x 4.7.
We also know that the rate of traverse and max elevation rate of the 4.7 twin was slower than the Mk30 turret....roughly half the speed in both planes. Thats been discounted as not being important except at close range, but that is not the case. Even at long range corrections have to be made by both mounts for the changing position of the target, and if that takes longer because of slower traverse rates, thats going to affect the number of times that target can be fired at before the a/c releases its ordinance. Basically, the theory is the same for all directed fire....the course and speed of the target is calculated, the gun moves to a position in the sky where the aircraft is predicted to be be, a shell(s) is/are fused, with time fused shells (either in the turret or in the shell handling areas) , or automatically (in the case of VT), and at the direction of the DCT the gun is fired. If the aircraft position is within the kill radius of the shell, it will be hit, if not, it continues. It should be obvious that AA gunnery is heavily dependant on how many shells can be fired, which is the main reasoining for HAA (the other being it is better suited to providing cover fire for high value targets....the entire screen can be directed to protect critical targets). For the British, one of the disadvantages they suffered was a somewhat lower rof, but also a slower rate of traverse and elevation. There were other issues, that have been argued, but remain unresolved at this point. With a slower rof, and a slower turret, there will be less points that the 4.7 can fire at, and hence less chances for that gun system to hit.
But it is worse than that. Because the 4.7 could only fire at 40 degrees. it could not even fire at targets that approached above a certain altitude and could not fire at targets that remained fairly high and closed the range. If an a/c was at 6000 feet, it cannot be fired on at any closer than 4000m range, whereas a turret with say an 85 deg elevation (what most 5/38 mounts were capable of) can fire until the target is only 500 m horizontal range. Effectively, the 4.7 has a fire opportunity of 4500m, compared to the fire opportunity of 7500, if effective max range is assumed to be 8000m for both weapons. That gives the 5/38 nearly twice the firing time, during which time they will sustain ahigher rate of fire, on the baasis of their quicker training and elevation capabilities. Nothing else can really be argued, because up to now we have been unable to agree on basically anything.
So, in my opinion, its a fiction to argue that the 4.7 was comparable to the 5/38 as a HAA weapon. Moreover, as a fleet scrfeeing unit it was also severely limited. If a Brit destroyer wanted to use its 4.7s to provide cover fire over a high value target, it had to place itself outside the range of its CIWs that could only provide cover fire out to a certain range.
For the USN with its combination of 5/38 and 40mm Bofors, it could provide cover fire from both its main armament and its CIWs as part of a fleet units. I think this was a priceless advantage, and it is relfeceted in the much lower loss rates to air attack for USN Destroyers. British Destroyers had to choose between one or the other. They could move their relative position to the target ship out, so that they could continue to provide 4. 7 fire over the target (and sustaining fire was the issue, even if nothing was hit, disrupting the attack was the important event), or they could forego their 4.7 fire and close right up and rely on their CIWs. But its just not a valid comparison to try and compare the 2 pounder pom pom to the 40mm Bofors, or even the 20mm Oerlikon in my opinion. It was a severely restricted piece of equipment. It suffered from frequent jams, it lack an effective incendiary capability, it certainly did not have an effective celining of 1000feet for all types. It had a max ceiling with the high velocity round (about half the ships in the fleet at a guess) 13000 feet, but max celining is not max effective celing, for the lower powered round, this might be as low as 6000 feet max effective ceiling. But over open sights, the chances of a hit at those ranges.....not good.
These shortcomings in the British Destroyer AA capabilities were painfully brought home throughout the war, and were confirmed in the last campaigns in the pacific, when the British Admirals forced to endure the terrible ordeals of the Kamikaze attacks on their fleet, saw first hand the limitations for the AA screens, and could only compare and lament the relatively poor performance of their own ships to the relatively outstanding performance of the US ships, with their vastly superior combinations of 5/38, 40mm Bofors and Mk 37 directors. They immediately took steps, as best they could to rectify what they could and emulate, as far as they could, the tremdous success that they observed first hand in the US fleet. both Fraser and Rawlings specnt some time on US ships observing for themselves the tremendous effectives of the US systems.