I would care because it means convincing the sales people to let me test said TV without a network connection to see that it doesn't e.g. nag me about lacking connection, or have delays when starting due to trying to connect or similar crap. It's annoying enough with the clutter in the UI related to features (analog TV, inputs I have no use for) that we only ever notice because it occasionally gets in our way. And that's on a "dumb" TV.

I also care because I don't want to encourage more of that crap.