Could be, but it sounded like he was making everything he tried for, with no particular strain.
BTW, I'm sure this has come up before, but in page 99 of Ira Gitler's "Swing to Bop," Bailey says of fellow Clevelander Freddie Webster: "I happen to know ... that on the [Charlie Parker] recording of 'Billie's Bounce' that [Miles Davis'] solo was exactly the one that Freddie played for that particular blues. Evidently Miles said he was nervous and couldn't think of anything to play, so he did Freddie's solo note for note." It's a lovely chorus and certainly sounds Webster-like.
I have met dozens of musicians I felt deserved more recognition, but a few conversational exchanges revealed the problem. Personalities and "demons" have a bunch to do with public promotion and recognition.