What do you think the most typical difference between classic players and jazz players?

I started (formal) piano lesson at the age of 5, and being not a really classic player I started studying jazz only 3 years ago. My teacher says I got improved. probably right. However, I do realize there is something very clear about 'being classical vs being jazzy' NOT from my technique or length... show more I started (formal) piano lesson at the age of 5, and being not a really classic player
I started studying jazz only 3 years ago.

My teacher says I got improved. probably right.
However, I do realize there is something very clear about 'being classical vs being jazzy'
NOT from my technique or length of my experience, what would you call that?

'nature', for example?

I'm serious, no harsh messages, please.
Update: Thanks for rich comments.

If you focus on the PLAYERS themselves,
do you see jazz players more flexible in their character while classic people are a bit stubborn, for example?
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