What is curious about this is what is happening in Project CARS. At the moment most things are unlicensed, so the cars themselves have a different name, they tyres do and there are no brand names allowed on the cars unless it's licensed.
However, once a license for a particular car is acquired, that whole car can be covered in names that they don't have a wide license for.
For example when they got a license for Pagani they could show the car with the Pirelli logos on and give it Pirelli tyres, all without a direct license from Pirelli. It came with it, basically.
Then recently they got the license for the old Team Lotus F1 cars. Up to then the cars had been slightly different models and had 'Grip Yeah' tyres. Then they got the license for the car and hey presto, they can now have Goodyear tyres, despite SMS not having a direct license with Goodyear.
So my point being, even without PD holding the direct license to the track if they have the car itself full licensed then surely they, like SMS, should be able to display the livery in full (minus tobacco/alcohol)?