There is no way to tell what % of kills were due to 5". I'm not saying the % was higher, but you haven't quoted any solid source to back up that % (nor does one exist, so please don't spam any more with generic sources everyone else can also look up and try to twist it into such an analysis, no such analysis that we can rely on exists; if people on ships could overstate the enemy losses, they could mistate the loss causes for the real enemy losses just as easily).That brings us to something like 65-75 actual kills for the year, and probably only 5 - 10% could have been 5in kills, based upon various expert witnesses, so the USN probably overclaime 5in kills by a factor 8 or 12 to 1! No wonder the 5in has a reputation as some kind of wundergun...unfortunately it was completely bogus, at least in 1942.
OTOH you quoted losses of Axis a/c to RN (and Allied merchant ship) AA, which other more reliable posters have indicated are overstated, but anyway the key point is the same: there's no reliable source as to which of those Axis losses in MTO or North were to heavy AA. Anecdotally at least, a lot seemed to be light AA 'revenge' hits on a/c which completed weapons runs then ditched on the way back or crashlanded at base.
So, did 5"/38's shoot down a mass of Japanese a/c in 1942? no. But I think this is a straw man argument for anyone who has read much about the topic: the issue is the inherent design capability of USN heavy AA v that of other navies, not some claim that it shot down huge numbers of a/c in 1942. Which goes back to my post many pages ago, though a lot of in the interim space is your spam (why not just give links to generic stuff on the web?, I think it's reasonable to take up large amounts of space in a thread with details only if it's something that's not on online in English). Nobody's heavy shipboard AA up to around 1942 shot down a lot of a/c, per any solid evidence.
Joe