We can go on only the info provided, but children can show symptoms of suffering, addiction, etc., even if they're young. They're humans, even though they're not fully formed yet. I don't know how much time you spend around young kids, but from what I've seen of them, I could see a kid getting hooked and having withdrawl vs. just being a brat and being denied something.
Young kids especially love repetition -- they can get a lot of enjoyment watching the same thing over and over, listening to the same music over and over, till their parents are driven crazy, lol. Kids become obsessed, so it wouldn't be surprising that suddenly losing what they obsess about would be painful. They have little emotional control or ways to express or understand their emotions, they can't reason things out, or know how to redirect their energy.