Yes, you are a 'jazz musician' )
and above all, you stay in key. (It's more than I can do.)
Since when did jazz musicians need to do this?
Ehhh, well... ohhhh.... never actually.... But the better you are at playing in key, the better you become at ignoring it... sort of...
I like to think of it as "anticipating the next chord change" - unconsciously.
Otherwise known as "getting lost again".