Not 'anything'. If it could be argued that a car is a work of art - ie a judge agreed - then normal copyright law could apply which protects the artwork for 70 years after the death of the artist. But, usually, the argument that cars are works of art doesn't hold fast so they come under "Design Rights" rules which, as you say, usually expire after 15 - 25 years depending on the jurisdiction. But only if you don't use any protected trade marks etc. So sticking Ferarri badges on a Z3 could still get sued by ferrari. But sticking a BMW badge on a tribute 507 would be OK because it is, after all, a BMW.
In fact Tribute Automotive shouldn't worry either because they're not passing anything off as genuine or badged.
But I don't know what Chris would do if he got a Cease and Desist letter.