I believe him. (Of course, I am a biased P-47 enthusiast)
It generally took a lot more than 1/10th of twenty one 20mm rounds to take out a large bomber. From "The WWII Fighter Gun Debate: Defensive Armament":
The Germans concluded that in a head-on attack, four or five 20mm hits would destroy a bomber, while it usually required more than 20 hits when attacking from another angle.
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Not long before he passed away in December, 1998, Robert S. Johnson was interviewed by Colin D. Heaton, of Military History magazine. Excerpts of that interview follow:
Military History magazine: Pilots generally swear by their aircraft. Günther Rall and Erich Hartmann praised the Messerschmitt Bf-109, Erich Rudorffer and Johannes Steinhoff the Me-262, and Buddy Haydon the P-51 Mustang. I have to say after seeing all of the old photos of the various Thunderbolts and others that were shot up, I can't imagine any other plane absorbing that much damage and still flying. What is your opinion of your aircraft?
Johnson: This is very similar to the German debate. As far as the 109, all of the German pilots loved that plane, but the FW-190 was harder to shoot down. Just like the controversy over the P-51 and P-47. The P-47 was faster; it just did not have the climb and range the Mustang did. But it had speed, roll, dive and the necessary ruggedness that allowed it to do such a great job in the Ninth Air Force. As far as aerial kills go, we met and beat the best the Luftwaffe had when we first got there. It was the P-47 groups that pushed them back, as I said before. The P-51s had the advantage of longer range, and they were able to hit even the training schools, hitting boys just learning to fly. As the war dragged on, many of the old German veterans had been killed--so much of the experience was gone. As far as the 109 versus 190 argument, the 109 had the liquid-cooled engine whereas the 190 had an air-cooled radial engine, much like ours. One hit in the cooling system of a Messerschmitt and he was going down. Also, none of the German fighters were as rugged as a P-47. When I was badly shot up on June 26, 1943, I had twenty-one 20mm cannon shells in that airplane, and more than 200 7.92mm machine-gun bullets. One nicked my nose and another entered my right leg, where the bullet split in half. I still have those two little pieces, by the way; they went in just under the skin. I had been hurt worse playing football and boxing. However, I had never been that scared, I'll tell you that. I was always scared--that was what made me move quick. "Hub" Zemke liked the P-51 because it had great range, but he put one in a dive and when he pulled out he ripped the wings off that airplane--that was how he became a POW. Adolf Galland, who was a very good friend of mine and who I had known since 1949, flew the Me-262 and loved it, but he still swore by the 109, although it was still easier to shoot down.
http://home.att.net/~historyzone/Johnson1.JPG http://home.att.net/~historyzone/Johnson2.JPG
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From his autobiography, "Thunderbolt!":
There are twenty-one gaping holes and jagged tears in the metal from exploding 20mm cannon shells. I'm still standing in one place when my count of bullet holes reaches past a hundred; there's no use even trying to add them all. The Thunderbolt is literally a sieve, holes through the wings, fuselage and tail. Every square foot, it seems is covered with holes. There are five holes in the propeller. Three 20mm cannon shells burst against the armor plate, a scant inch away from my head. Five cannon shell holes in the right wing; four in the left wing. Two cannnon shells blasted away the lower half of my rudder. One shell exploded in the cockpit, next to my left hand; this is the blast that ripped away the flap handle. More holes appeared along the fuselage and in the tail. Behind the cockpit, the metal is twisted and curled; this had jammed the canopy, trapping me inside. The airplane had done her best. Needless to say, she would never fly again.