This is a general answer:
1. Classical players do have to do much more effort to master their instrument technically, jazz piano players have to put much more effort to understand the harmony and theory of the music they play. you can say that a jazz pianist is also always a little bit of a arranger of composer, since he for example have to choose how to voice his accompagnyment chords.
Also, because there is not ONE way to play jazz, a jazz player is able to avoid being stuck up with technical problems, he can (till a certain point) avoid to play things he technically is not able to.
An example for this is telonious monk.
2. classical player train to read much more, jazz players train to transcribe and play by ear.
3. Teaching classical music is much more determined and clear than jazz playing, simple for the fact that there is much more history and books of classical music than jazz. Teaching jazz at Music schools began in the 70's, teaching classical music began in the 17 century.
4. All great professional jazz players can play a second instrument very well- for example most pianists can play also drums- this is due to 1. Most classical player just play their instrument.
5. IN my opinion, the jazz player is much more forced to develop his creativity and has to confront himself personally in the music more than the classical player, because jazz is improvised music.
( maybe the classical guys will hate me for this)