I heard there were a lot of cuts on that recording too. I don't know how reliable a rumor like that it but I'm inclinded to believe it.
Wynton is without a doubt one of the best trumpet players alive. Or dead for that matter. However, I don't think even Wynton could circular breathe without a single cack, clam, split, or anything for four and a half minutes. To be clear, not only are these no mistkes, there are no splits of any kind on the recording. I don't think that kind of thing "occurs in nature".
All studios do it. It's nothing against Wynton. Let's be honest though...if he was doing this solo live we'd all be picking our jaws up off the floor. I saw Nakariakov a few weeks ago and he was great but even he had a few splits. They were tiny but they were there. Wynton's flawless recording is excellent and a testament to his ability but I highly doubt it was done in one take.