I'm also not sure the idea of TV is the future of entertainment. Where TVs are best is when there is one source of visual entertainment which is consumed by a group of people where you sit together and share seeing 1 screen. The general trend is multiple devices for personal entertainment.
Mobile phones, tablets, laptops, VR headsets seem more of the future. What happens in most homes now is the kids moved from the 1 screen in the living room to a personal device (laptop, etc) in their bedroom.
In my experience, I only interact with a large display when in business contexts and I'm standing presenting, or in a meeting and we're pointing at a big screen debating. Then its a mix of a large display with VGA / HDMI input, with projector or flat-panel. In that business context then $3000 isn't an issue if it aids to the room ergonomics. Projecters often are noisy and fiddly and standing in front blocks the projector and blinds the presenter so a big flat panel is more common.