No need to have both Hoppers connected to Ethernet. The Joeys don't need Ethernet connectivity either if they are on MoCA. Just connect 1 Hopper to Ethernet and enable bridging. It will then share the Internet connection with all the receivers on the MoVA network. 3 Hoppers and 2 Joeys here connected in that fashion. Works great.
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This still causes problems for me, if set up this way my Hoppers and my network become unstable.