My thought exactly about “I don’t own a TV”. When someone launches into a long breakdown of every awesome series they’re watching, is one supposed to just nod knowingly for 30 minutes? That statement brings the point home.
If that’s bad, “I don’t watch TV” is infinitely worse: That sounds like you have a TV but want to pass for a glowing example of anti-couch-potatoe discipline and self-restraint while still watching TV at least sometimes. Then your interlocutor might still try to convince you to watch the awesome series in question, on top of thinking you’re a holier-than-thou jerk. You lose both ways.