Interestingly one of the more popular VR apps is Bigscreen which let's you watch video content on a large virtual screen in a shared space with other remote users. The use case is consuming passive and mostly 2D content while chatting with your friends which is quite similar to what you're describing but for people who aren't physically in the same space as the people they want to consume content with.

It's not something I've found much use for (but I don't own a TV so your scenario isn't one that has much relevance to me) but it is a common thing and one that already translates quite successfully into VR.