The prejudice that the some in the RAF and the USAAF as well, had for the P-47 when it first came to England is well known. They didnt see it as a fighter that could fight in the ETO because of its size. I also think you see some of that "projection" in the RAE docs. Thats not surprising, being that the Spitfire and 109 were @6-7k pounds, and there is this P-47 at 10k pounds.
As for the P-38, the version the RAF got (Lightning I) was a non-turbocharged, non-counter rotating propeller version, and they were very unhappy with it. Its no surprise they were not fond of it either. Also, the notion of twin engined day fighters to operate against other fighters, was not pursued by the RAF or the LW over France in 1941-3, so again, they were suspicious of the very notion of it.
But a/c get improvements, and sometimes the testing on early types does not jibe with how they do in actual combat.