Hmm, I get why DF singled out Gunbuster out as an interesting and novel entry into the genre at a particular point in time, but I don't think it really had much impact or influence on gaming in its time. Even as a Japanese FPS, I haven't seen it championed as important to that territory; I think it was just one of many novelty games at the time trying whatever would get gamers to put quarters in, and technically it ended up being part what would be a foundational wave that moved us from 2D to 3D, but I could see it as being just another arcade game among many with weird graphics effects to enjoy, whereas Wolfenstein and eventually Doom at home felt like something really was happening.
Personally, I'd point to Midi Maze / Faceball as the game which really hinted that a revolution was to come. It was simplistic visually, and probably most people looked at it as like Battlezone set in a room rather than the seedling of a "FPS" revolution. However, I do remember the idea that you could look and move in "first-person" was exciting, and then the ability to do multiplayer (including an elusive/impossible 16-player Deathmatch link-up ability on the Game Boy version) was really intriguing in the midst of other multiplayer experiences, offering a different type of play from traditional racer or sports play.