But they're not examples of mundane descriptions. BMW is much closer than Volkswagen is -- I doubt anyone has ever actually referred to a car as being "a car of the people" -- but "Bavarian motor works" is not a phrase that you'd expect anyone to use descriptively unless there was an appropriate referent, a set of car factories in Bavaria whose company affiliation was obscure or irrelevant. (Perhaps because there are many of them affiliated with different companies, but we're talking about things they have in common such as a demand for steel or technicians.)
Had that been the case, and had the phrase been in common use, it would have been impossible to trademark "Bavarian Motor Works" to refer to part of the Bavarian motor works. But reality is different.
Also, this is literally "people's car".