Associated Press Style: No more capitalizing internet and web

Suppose it was possible to partition the Internet. For example, suppose China could actually sever all connections to the rest of the world. Would we still have the internet? Or a collection of Internets?

Maybe somebody could still still read data in Nepal, run across the border, and retype it on Sina-net. Is it still partitioned? Does Sneakernet count as part of the web (or Web?)