I have a funny story about that...
We're backing The Original Teenagers, who, with the late Frankie Lymon, recorded a string of 50's hits, the biggest being "Why Do Fools Fall In Love." We start to rehearse it at soundcheck, and our old sax player says, "Excuse me a second, guys, but this solo written out here...is that what you guys really want?"
OMIGOD! Anyone who knows "Why Do Fools" knows that the sax solo is integral to making that song work, and it may not be Coltrane, but that's the big hook of the song! They told him in no uncertain terms that they wanted that exact solo note for note. So we rehearse it and he plays it beautifully, like he could have been the guy who recorded it.
So we do the show, and he busts into the most out there jazz solo I ever heard in a 50's doo wop song. They're looking at him with these looks on their faces, and he does this solo then gets that "Hey man, I really made that tune come alive!" attitude about himself. Oh sure, he's no longer with the band, but man, we still laugh about that look he had on his face when he was done. Big man on campus, he was!