I was watching "Disturbia" last night and they had him playing clearly a 360 with Live headset, etc and GRAW.
But they still couldn't be 100% accurate, when he got disconnected (plot point so he gets even more bored under house arrest) some imaginary full screen screens came up saying like "DISCONNECTED" and such. Clearly not real Xbox Live screens.
Guess they had to boldly reenforce the point for viewers.