HoHun,
I dug a bit and it's a Joe Christy's book (Luftwaffe Combat Planes and Aces) which contains Gallands and also Walter Oesaus views:
"But with only a single nose cannon and pair of rifle caliber machine guns, it (F) did not have the firepower of the E. Veterans like Mölders and Udet prefered that way. The F climbed well, turned tightly and was the last classic Messerschmitt dogfighter. This was fine, if one were an experienced ace, but Adolf Galland and Walter Oesau clearly saw that as the war progressed the number of veteran marksmen would dwindle, while the ranks of raw recruits, many of them product of accelerated flying school crash programs, would swell. These new pilots would know very little of unerring marksmanship. They would have their hands full just flying the airplane. They would invariably be outnumbered, and Galland and Oesau didn't want to be outgunned too. They demanded that the new 109s carry more firepower, at the expense of performance, and Oesau went so far as to refuse to fly the 109F for several months, even though his wing, JG 1 had already re-equipped with it."
Galland and Oesau certainly knew the advantages of the center line armament and knew that ace level pilots (like themselves and Mölders) could utilise these advantages (note that this had been my point right from the beginning). But for an average pilot (who certainly was not an ace) armament of the E was better because firepower was better and therefore possibilities to got hits were better too (because firepower is better then Gallands shotgun for the flying targets claim fits here well). I afraid that my points are quite identical with not only Galland but with Oesau too. Also I don't see any reason why Galland would have wanted centerline cannon removed from his plane when he got wing cannons (also for center of gravity reasons), he wanted firepower and he also saw firepower of the E better than the F's (despite better fire rate and muscle velocity of the MG 151, 15 or 20mm).
I remember well that we are comparing the Spitfire and Bf 109. Some good shooters in the RAF might have benefited from the 1x20mm + 2x7,7mm in the centerline at close range shooting but most would not. And at higher range there is not much difference, because then shooting is very unaccurate anyway. The firepower of the Spitfire was about twice as large than the F's or early G's so for an average pilot possibilities to get hits were therefore better.
Generally I see your views about accuracy of the air gunnery quite strange, even in the case of the best shooters accuracy was very bad, only small percentage of the bullets hit the target. In the Finnish Air Force main difference between the aces and average pilots was shooting range; the aces were good shooters and shot from very close range and therefore they could benefit from centerline weapons. Average pilots shot from higher range and and were not so accurate shooters, therefore higher firepower is better for them (despite what ever convergence). Also your claim about LW pilots witnesing bullets missing their planes on both sides is quite questionable; how about opinions of those pilots who witnesed hits...
I quess you can't never admit that you are wrong on this but lets try to hit 100!
gripen
I noted that Oesau served in the JG 51 or JG3 that time. He was KIA in the JG 1 at 1944.
gripen