Does good jazz consist of, comparatively speaking, the most experienced (in both technique and improvisatory practice) players around, playing with the most freedom and will to create something that is at once unique, complicated and beautiful? I'd say yes, this is exactly what jazz is: an optimal triangulation between novelty, complexity and beauty...there is music that is more of one or the other but it will sacrifice the other traits.

But does this make jazz always the most sophisticated choice for a given setting or mood? Hell no. It would never make sense to say that jazz was the most sophisticated music for every taste...only for tastes which appreciate jazz's unique position at the balanced apex of the aforementioned characteristics.