I remember seeing In the Mood for Love on the big screen in my local arthouse cinema back around 2000. It was shot with analogue film and projected as such, and the sheer details of the textures were astounding. It's not a bad film on my 4k monitor, but I don't feel the same awe.

IIRC in the film era there was one "master" of the movie, it was duplicated multiple times to make negative versions of the film, then those negatives are used to make the positive copies that are sent to theaters. So you're watching something that has been copied at least twice.

Commercial theaters are all digital now. They don't even have film projectors anymore. Some independent or "revival" cinemas might still have them.