Not an interactive movie, not by a long shot. A movie is much closer to a painting, in that its essentially static - exactly what the artist put into it an no more. Carefully crafted for a particular experience.
Games are more or less essentially static. Sure there is a little more freedom of motion than in a movie but I would say it is a similar progression still to motion picture, motion picture to motion picture with slight control. You can't get something out of a video game that wasn't put in in the first place. Trust me people who make video games consider and craft the experience the player is having.
Rather than compare them to movies I would compare them to theater, where the player is an actor in the play. The lines and locations are the same every time, but every performance is slightly different.
