That depends on what kind of equipment they use to record the film. I would imagine that newer films are recorded with digital equipment, rather than rely on 35mm film. It makes for easier editing, they don't have to transfer the video and audio from an analog to a digital medium, and it's simpler to just re-shoot a scene than starting to do some heavy editing because of spectacular cock-ups made by the actors or the recording crew.
EDIT: 35mm film, if recorded properly, far exceeds the capabilities of digital resolutions, yes. I suppose that's a good argument for recording with 35mm film, but that still depends on what resolution is used IF they are in fact using digital equipment.