When Verizon installed my router a long time ago, they installed a splitter on the incoming cable and ran from there to the FIOS unit then installed in my house and from they ran a dedicated coax from that incoming splitter to the router to avoid all other splitters in the house. The coax in the family room I believe goes through two splitters plus the new one I added to make the Rev E connection.
If there is a problem with or loss of the Internet signal, the router will not automatically recover?