When I'm sitting around the house playing music, I play jazz almost as much as I play folk. I know lots of other people who play jazz regularly. How can it be dead if we still play it?

Looking to popularity contests such as the Grammys as an indication of whether or not a form of music is alive and well is very silly. There's a big difference between a genre of music being massively popular and it being healthy and vital. Coming up with a fairly narrow definition of jazz and then saying that musicians who are outside that definition aren't playing jazz probably contributes to the idea that jazz is dying.