How does your argument allow for a clean room developed code library to be infringing on what it re-implements based on the SSO copyright of the API names?
First, I am not making any argument whatsoever about the copyrightability of code APIs, only that no matter what their status is, protocols cannot be copyrighted. Second, software source code is certainly copyrighted work (and that's why discussions of SSO are relevant in the first place), and if you're referring to Android, both sides agree that Google copied 11,500 lines of text -- about 200 pages -- verbatim from that work. Whether or not, despite the copyrightability of software, that copying is an infringement depends on much more nuanced portions of copyright law. You may want to read the court papers or even the Wikipedia entry on that case if you want to be certain on the matters of fact.
The 11,500 lines are just what's necessary for API compatibility. 'public class String' 'import java.lang.Object', etc. Both sides also agree that this was totally clean roomed. The verbatim copying here is just the SSO of the API.
That's the interesting subject of this case. But the fact is that 200 pages of a copyrighted work were copied, and there is an interesting legal question as to whether that copying does, indeed, constitute copyright infringement (i.e. whether it's protected and, if so, whether it's fair use). That Google intentionally did not try or want to achieve compatibility is another important detail that the court focused on, as well as the fact that they did all that for commercial purposes (here we're actually seeing that copyright has three stages: 1. determine whether the work is of a nature and form that is copyrighted. 2. determine what kinds of copying are protected. 3. determine whether protected copying was fair use.)
None of this, however, is relevant to discussions of works that are not copyrighted in the first place, as they do not even satisfy the most basic necessary conditions, like algorithms and protocols, of which REST "APIs" are instances. The case is about stages 2 and 3; they fail at stage 1. Partial, translated, complete, verbatim etc. copies of non-copyrighted works is outside the bounds of copyright law, and have nothing whatsoever to do with this case.