A TV will do, for a child. He doesn’t NEED anything fancy. Will it be a great experience? Absolutely not. Others here have already gone over the issues. That being said, if cash flow is an issue (relatable), it’ll be fine. Console gamers have been doing it for literal decades. I also used to do it, back when I was a kid, when we had an old 480i TV. Your kid should be grateful that he can play his games. People can spend too much time worrying about not getting the best experience (especially when giving advice to others), when it’s often not needed.
What she didn’t see is me whispering in her mothers ear “I run Arch, by the way”. Then giving her a quick wink.