Did you reload your latest save and try again? My Xbox locked up just before going to a loading screen, with the darkened image similar to your screenshot, but after turning it off, then back on and starting the game again it worked fine (had saved about a minute before). I don't know if that was just a random glitch, or if the Xbox was overheating because it had been on all day.
Since this cutscene worked before properly, hopefully it was just a random problem.
