The original 1979 Ridley Scott Alien was a classic horror film, since then the Alien franchise moved more into action films. Yes, it has had it’s thriller moments, but nothing that really said horror.
The latest trailer definitely feels like a lead up to the classic horror film. In fact, the filming style and the trailer cut seem to be a mimic of the original Alien movie. But don’t take my word for it, check out the trailer yourself.