I am not aware of any smart TV that actively solicits a DHCP lease and default route outbound from anything it's plugged into by the 100M ethernet built into a current gen HDMI link. At least not yet. And since I think the default behavior for things like xboxes, playstations and apple TV is not to be a dhcp server and provide routing/NAT, I don't think a lot of things you can plug a TV into (also yet), would provide such function even if the TV tried.
I'm sure somebody at LG is hard at work on fixing this problem.
I'm sure somebody at LG is hard at work on fixing this problem.