I have the same problem but it is with all four of my Joeys. Basically the Joeys will initially connect and may work for 10 minutes to 2 hours before disconnecting and showing the "Joey is looking for a hopper 1303 message." Prior to this happening the MOCA indicator is 4 green bars on the Joey and the Hopper. When the problem happens the Joey will either "lock-up" like a youtube video that is buffering allowing only a few seconds of video every 10-20 seconds or it will disconnect and when it "reconnects" you can only watch what is currently playing on the Hopper. What is even more interesting is that the "diagnostic" screen will show it with full MOCA bars and connected to the Hopper, but the "whole home" screen shows it unlinked.
Anyway, I had a service call where the tech spent 2 hours trying to fix the problem. He replaced the duo-node, splitters, terminations, etc and then was very honest with me. He said "I just have no clue what is going on here. This makes no sense, you are going to need another service call from someone with more diagnostic skill than me." He then told me that he would call in the problem and get me taken care of.
Well, the next day I heard nothing from Dish, so at 12:13 PM I started a chat session with Dish and made an appointment between 8-12 this Monday. At 10 AM I had not received any text message or email, so I started another chat session. The person on the other end told me that my appoint ment was not in their system; however, he scheduled an appointment between 12-5. Guess what? No call, nobody showed up, nothing. So, I emailed Dish and told them to come get their boxes. Never heard back from that email either. I should have stayed with DTV. 3 years of no problems. Never called them once after the initial install.