The Traverse is a rolling pile of junk, to coin a phrase. The Mazda is far superior.

I'll usually like American cars over Japanese because of union brainwashing, but the Traverse are really throw away cars. Don't buy one.

Not even a comparison between the 2. Go for the Mazda. 

I would go with the Mazda CX-9.  You didn’t say which generation of the CX-9 but I would stick with the 2nd generation (which started with model year 2016):  the 2.5L Skyactiv-G turbocharged I4 mated to the 6-speed Skyactiv-Drive automatic transmission is a solid powertrain combo and has been holding up.

Mazda hands down. Never buy a Traverse, Acadia, or Enclave, they are rolling piles of junk. Plus Mazda CX-9 is made in Japan which is a bonus.

Mazda by a mile but the Grand Cherokee L seems like a pretty good option also 

I wouldn't get either. A cylinder deactivation in a 4-cylinder makes absolutely no sense whatsoever. A 4-cylinder already gives you great gas mileage. Cylinder deactivation in a V8 makes more sense but it's still not a good feature.