Yeah, before you install all this hard infrastructure, would really recommend trying out LAN streaming. If you have a spare laptop that you can link up to the tv with hdmi you could try it out and see if it functions for you. I’m very impressed with how well moonlight works (shield streaming you can enable via GeForce experience I think)
The use case I’ve thought about for the hardwire connection is that I’d love to be able to able to mirror what my wife is watching on tv on my second d monitor sometimes. My assumption there is that I’d need to run a video out to a capture card I guess and have that output up. Otherwise I’d have to set the tv up as an additional monitor and play the stuff she’s watching for her.