It is a game in a loose definition of the term. All games require interactivity, and this requires it quite a bit in order for it to actually go anywhere.
Yes, but when the vast majority of the interaction occurs as a QTE, the interactivity becomes negligible. It does, as you said, fit the "loose definition" of a game... But HR to me seems like an attempt to fully fuse movies and games, but that ends up missing the best of both worlds: the excitement of games and the director-defined experience of movies.