No, the TV will not pass the internet from its ethernet out through its HDMI input port. HDMI ports are just meant for audio video connections. But since you already have an ethernet cable there, you could get a Roku Ultra and plug straight into that! (The Roku Ultra has an ethernet connection already.)
That said, the Wi-Fi connection will probably be fine, and is certainly worth testing first. That's how most people do it.
Ah! This is the response I was looking for: what I was proposing won't work but a Roku Ultra will work.
So, if the Roku which I can borrow from the upstairs TV doesn't receive a satisfactory signal when installed on the basement TV I can buy a $99. Ultra and use that with my existing FIOS ethernet cable which currently provides phone and internet.
Thank you for your response.
Sounds like a good plan!
