This is it I believe, click on the car in your garage and see which tires it shows on it, if it shows the OZ snow/dirt tires simply click on tuning and change the tires
Same thing happens with my premium S2000. When I click the "wrench" where you customize your car, it has the OZ racing wheels, on the track, it's the default wheels on it.
I'm not even sure if you can put those wheels on the S2000 ! It's the only car I've noticed that has that "bug".