well, that's not a good idea, to think differentiating the time period is unimportant. Bud was an amazing figure, and his development as a musician is an amazing and essential thing to witness - and he was a different player in 1947 than in 1948 through, perhaps, 1953, which were his peak years. To say the time period is unimportant is like also saying it might as well have been 1956, when he was audibly deteriorating. Or that what a writer wrote is unimportant to recognize, even if his early work is different than the later.
In 1947 Bud is playing great, but he does NOT have the depth to his playing that he has in '48 and '49. How can this be unimportant? It is important because Bud is changing, deepening, expanding. BUT MOST IMPORTANT: How can you trust a writer who cannot differentiate between different sounds and approaches, especially one as clear as this? To me this shows how poor Pullman's judgement is, and it tells me NOT to trust any other musical observations he makes - because the difference in Bud's playing is plain and obvious. And if you yourself don't make the distinction, you should go back, because it is so artistically blatant, and it will lead you to appreciate Bud even more.
As for Paudras, I knew him a little, and you seem to be dismissing him. He was a great guy who really saved Bud's life. He deserves better treatment.