Ah, but do you want digital video to look like digital video or film? The resolution and bitrate of DVD Video, and even HDDVD/BD, often is not enough to capture the fine grain of an original copy of a film. The HDDVD spec calls for simulated grain to be added based on a metainformation channel that describes how much grain there is in a given shot. So I guess then you can have digital video that looks like film, even if the filmic quality of grain is reconstructed mathematically. (Technically, so are P- and B-frames.)

To me, grain is an artifact of the photographic process, like lens flare or motion blur. It should be retained, if possible, to provide a truer representation of what is on the film. This is epsecially true for photographers and directors that consciously use it for its artistic effect.

That being said, I've never bothered to play with a DVD player, TV, or computer program to try to make grain visible on something. I may try it and see what happens.