I think everybody has to kind of decide what the word 'jazz' means to them, and that's fine.
Just figure out what you think jazz is, and then if it fits into that category, it's jazz, and if it doesn't, it isn't. It's no big deal.
Well, Grover Washington was my main influence and when I went to college, I started listening to more of the jazz masters like Sonny Rollins, Cannonball Adderley, and John Coltrane.