Jazz is a form of communication, a language. Just like the process of talking. You have something in mind and wants to convey your message. You thought it through, at last open your mouth and speak it out in the best way where you receiver can understand.
Another person with the same message content too has his own way of conveying his message across but with different kind of phrasing, articulation, emphasis on key points which he thinks his audience can understand well.
That is why there is so many interpretations but with the same piece of music. Audiences have different preferences and musicians do what they think deem fit rather than satisfying the majority. This is their "style".
..............................................................................................................................in search of the my "style"