My information about the Bethel legal depatment says they care very much indeed whether the rank and file can have access to this book! They are doing all they can to get the new elder's manual taken down.
But it is too late to stop it - it is everywhere! So now they are trying to get webmasters to remove the links so it becomes harder to find. They will fail there too, because webmasters should know that it is not illegal to post a third-party link. You're not liable if you link to an online location that contains infringing material. Actually, the DMCA protects against claims that simply posting links are infringing. A Cease and Desist letter can be sent to a Webmaster, but it holds no legal weight. WTBS lawyers know that - they hope you do not!
It is possible for WTBTS to apply for a subpeona to demand the IP and other identifying information of someone posting the file, if the files are hosted inside the USA. Note I said 'posting the file' - not sharing the link. Never mention that you personally uploaded a file, and use a proxy if possible before uploading 'sensitive' files to file-sharing sites, although you should of course never post files that infringe on the rights of the copyright holder :)
DMCA states that, basically, as long as a site removes the file as soon as they get a valid DMCA notification, they are no longer liable. If the file is reposted, a new DMCA notification is needed, especially if the file name is not the same.