Not intended to imply judgment of the value of one discipline over the other, but simply to underscore my comments above. Two absolutely true stories that I have first hand knowledge about:
During his tenure as conductor with the NY Phil, Zubin Mehta, while on a flight back to NYC, met the great Gerry Mulligan and invited him to take part in an upcoming performance of Ravel's "Bolero". The piece, as some may know, features instrumental solos for, among others, soprano (actually sopranino, but that's a different subject) and tenor saxophones. Soprano, being Mulligan's second instrument of choice, was to be played by Mulligan. I can't emphasize enough how often I have heard excellent jazz players downplay the difficulty of that seemingly easy solo. After all, it's not technical, easy key, etc.; but, it requires good intonation, control, and rhythmic accuracy (with it's displaced rhythmic emphasis) while all the time allowing for individuality of expression. To say that Mulligan's performance during rehearsal was a disaster would be an understatement. But, this was the great Gerry Mulligan, and surely he will come through in the end. At the performance, the first phrase of the solo was fine, then he got off by a beat and played the entire last two thirds of the solo off by a beat. At the end of the performance, during the obligatory bows, Mulligan turns to the soprano sax player and says: "We played the shit out of it, didn't we? Clueless!
During the 1980's, Sting was the star of a Broadway production of Kurt Weill's "Three Penny Opera". Branford Marsalis was saxophonist for Sting's touring band. Can you see it coming? :-)
Players on Broadway are allowed to "sub-out" a certain number of performances during the run. Well, Branford thought it would be cool to sub on the show, and being Sting's horn player, well..... Instead of doing what a player needs to do to be successful subbing on a show, he went in without sitting through the show (without playing) nor studying "the book"; he went in cold, thinking: how hard can this possibly be? By intermission, the conductor wanted him to go home.