This is, essentially, the fallacy of division.
Interfaces to software have been rules non-copyrightable despite being an element of software and thr software itself being copyrightable; this is particularly the case for user interfaces (Lotus v. Borland is the landmark case here.)
There have been many comments from the legal community, including, IIRC, judges that sit on the 9th Circuit, that the Federal Circuit (which heard this case on appeal because of the patent claims in it) has misapplied binding Ninth Circuit precedent (which is supposed to control on coypright issues in this case because this came up from a district court under the 9th Circuit, and copyright law is not one of the areas where the Federal Circuit has exclusive subject matter jurisdiction.)
I don't understand how this is never brought up with regard to API copyright. API's are software, software has been deemed copyright-able, thus, API's are copyright-able.
Am I going crazy or missing something?