Even if it did support it, nobody connects their TV to their local network via HDMI, they connect it to their PC. And, as far as I'm aware, no PCs automatically start sharing networking with whichever networks they are connected to.

That could of course change. Could be even a nice feature for connecting your TV to the network via your multi media center, if the bandwidth is good.

LG was caught abusing (although it's hard to argue that it isn't intended behaviour) Windows automatic installation of hardware-related software to install adware. Doesn't take too many tinfoil wraps around one's head to imagine them doing the same to enable network sharing (assuming hardware support is ubiqtuous enough).

https://www.techspot.com/news/113031-lg-alienware-monitors-c...