That’s one solution… unless someone wants to use the computer while you’re watching something, it’s fine. For any shared access TV/computer set up, this falls apart quickly.
I want my SO to be able to watch something on the TV while I’m playing a game though (and vice versa). Personally all of my stuff is independent, we each have a gaming computer, and the TV ruins separately of all of it. We have a Samsung smart TV and it has a Chromecast attached, so we have options there… but not everyone is set up like me.