That doesn't apply here; no matter how much street name data is collected, no amount of the collection, including the entire thing, can be copyrighted in a way that would impose any restrictions on OpenStreetMap.
From your link, which is quite short:
> such copyright may exist when the materials in the compilation (or "collective work") are selected, coordinated, or arranged creatively such that a new work is produced. Copyright does not exist when content is compiled without creativity, such as in the production of a telephone directory.
So you'd have to ask yourself, "was any creativity, of any kind at all, required in order to call this street by its own name?" And the answer is even more obviously "no" than in the paradigm case in which the telephone directory can't be copyrighted because it consists of facts (involving no creativity) in an externally specified order (alphabetical) in a collection specified by an external rule ("everything is included").