Pretty huge. Many non-techy users don't like the idea of keeping a computer on 24/7, but a smart TV is just fine.
Also, the Apple TV 4k only draws 0.5 watts at idle and less than 3 watts when streaming movies[0], so I imagine it pulls less than 1 just tunnelling traffic. Computers pull 15W+ at idle, and that's with low end components.
0: https://www.apple.com/environment/pdf/products/appletv/Apple...