Hmm. I hard-wired everything to a separate GigE switch. I am pretty sure I can watch my Tablo when my ISP router is completely powered off. I will have to test to make sure. I did this so my Tablo/Roku traffic does not have to traverse my ISP router, and it works like a champ. The Rokus don’t touch the ISP router to get at the Tablo, and even with three TVs streaming from the Tablo, none of that traffic hits my ISP router, allowing any internet streaming devices the full power of the ISP router dedicated to internet traffic.
GigE switches are cheap. I recommend having a separate switch for your network to separate your Tablo traffic from the rest of your internet workload.