Just tried it. The body will fit, and everything seemed free.
But, it's a really tight squeeze to get it on (body is very thick and therefore stiff), and there's basically zero front tire clearance. Smaller O-ring tires will help, and you can always grind on the body a bit.
I remember checking the SRT Shelby Daytonas with the X-Traction chassis and they were very tight too. I use the front tires and axles from the JL pullback chassis with some bodies I run on X-Tractions. They have a smaller OD, so they fit within tighter fenders and the magnet sits closer to the rails and pulls the car down a little more. The Tomy GTP bodies ride very nicely this way and those winged bodies are much safer riding on X-Tractions. The downside is that you lose the independent wheel action through the corners but that seems to be more than offset by the better traction.