Not according to the traditional measures. Public libraries are checking out books in growing numbers, to a expanding body of users. Libraries were networking when the Internet was still in diapers. Long before computers linked up to one another, libraries were networking to share resources. The metaphor of interlibrary lending is the intellectual ancestor to today's network of computer networks.
Libraries also have trust on their side.
By contrast, the library is seen as buyer-oriented, housing mostly data that users request, year in and year out. Nearly every public and academic library makes its collection available online these days, via Telnet dialup or Java database. The Internet is part of the library. It's an unusual community library that isn't plugged in on many levels. For many people, the library is their only portal to the cyber regions.