You can't pan the camera to see projectors in movies because Director controls what the camera sees. When the player controls the camera, how do you hide all the equipment they use to produce specific lighting looks? Projectors, spot lamps, diffusers etc. Making them all invisible so there are bizarre sighing artifcates everywhere depending on where you're standing and in which direction you're looking?
Light does what it does and it's a lot of effort to not have it do that. Look at how lengths the lighting team go to light a scene in a movie to achieve a specific look. A lot of equipment is used to achieve that look and you can't see it.