While I respect your opinion, you are mistaken.  Your response would lead to an absurd result, namely, that libraries that accept CIPA funding have no First Amendment right to Internet porn but libraries that do not accept such funding have every right to Internet porn--so the lack of any First Amendment right to Internet porn in public libraries depends on whether or not a library accepts certain federal funding.  That is absurd.

Further, the case decided public libraries have no First Amendment right to display Internet pornography.  Then, after that, and based on that decision, the Court looked at the funding issue.  Based on its first having found no 1A right to such material, it ruled as it did.

So the Court's ruling about the First Amendment applies whether or not federal funding is obtained or not.  Whether or not a public library accepts certain federal funding, there is no First Amendment right to Internet pornography in public libraries.