The way I was thinking about this wasn't to have cut scenes in between everyplay per say..I was thinking more on the lines of just showing a different camera view, one that would show more of the whole field and stadium from a far so that you could see it all happening in real time. Sure you could add in some cut scenes and of course the big thing would be stat overlays. This presents a perfect time to show a player pic with his stats for the game and year. I think it would just pull the game together more and have a better feel of an NFL experience.
However your comment got me thinking of an alternative to the alternative. If this was something they could put in and decided to you could always have the option to hit a button that would run the time off the clock that it would have taken to just watch everything. So basically if you skip the players running in and stat overlays you would just see the acc. clock kick in and go right to the line of scrimmage. Remember though that in the idea I was talking about you are not adding time to the game, you are simply filling in dead time that is already there, so the games don't really take any longer. You just have more interaction and immersion as they say.