I don't think he'd win, but I think it would be more interesting. It would end up a grappling match one way or another, I think. On the feet, he could possibly land one of those crude but absurdly heavy leg kicks that had the tendency to drop folks on their asses.
My money would be on Jones too. But i think the fight would be a lot closer than you think. I remember a prime Shogun and many thought back then he was just as invincible as a prime JJ. Plus he won the GP beating some of the best names in the history of the sport. And he didn't just beat them, he blew them away, in their primes.
Dude had all time great low kicks. F knows where he learnt that, but that **** could chop timber. I remember him dumping Wand on his ass with a low kick in the GP.