I've got something of a different view. I was never limited TV or game consumption. My parents had the mindset of 'you'll have to learn to self moderation at some point, better to do it when the stakes are small'. They wanted me to learn to recognize when something I enjoyed was having a negative impact. They would guide me subtly by asking me to think about time spent in various areas and what that meant. Now as an adult I've not struggled with moderation in any area. Never got pulled into MMO style games, diet isn't a challenge etc... My biggest worry is that I work too much and don't make enough time for fun.
I remember finding it odd when I'd visit a friends house and they were only allowed a certain number of sodas per day, and had regimented rules about computer time. Later on as adults, these friends almost universally struggled with various addictions real and digital (I've seen lives ruined by MMOs). To me it appeared that they weren't able to manage their own desires without outside inputs. Obviously it was a different experience for you.