I share your perspective, however I think Jazz can be analyzed a little bit differently due to the improvisational quality it exhibits.

You're right ofcourse, a genre war is senseless. I didn't even realize that I did the same thing I usually frown upon, lol

Back to improvisation, I find that Jazz makes just a bit more room for a less intellectual expression than other genres but I know you can make a case like that for just about anything.