It's a pretty different twist on it. Usually those games are like 'pervy dude gets hired to do job at a school' and the story starts there. Here, the guy has already been working there for some time, but the story picks up with him recovering from an accident in the hospital, and having amnesia. There's also no creepy manager blatantly encouraging him to get up to shenanigans (like headmaster, club detention, etc. etc.) - here the principal is actively following his ass around warning him to keep his hands to himself. Cue hilarious scene where he very nearly gets stabbed lol.
There are actually a lot of hints about the horror - there is one student in particular who is affected most directly (I will skip the spoilers but suffice it to say if you play through the entire current game you will know, and it goes beyond just a flash on the screen) but then there are also scenes where the MC has nightmares, Mei has nightmares, and at the book club the girls ask Emi to change out the book they are discussing (a horror book) because several of the girls are having nightmares (this sure as hell seems like foreshadowing.)
Still can't figure which game you guys are talking about but the narrative and dialogue in Love and Evil Things is striking the perfect balance to me - you are correct that it absolutely does not get lost in reams of stream of consciousness bullshit like I have seen in plenty of other VNs. The devs have avoided building in paragraphs of annoying text just to stroke their own egos (Waifu Academy went too far in this regard with all the elaborate references and puns that drone on for pages.) Here they narrate just enough to add humor, and the dialogue is very realistic and not dragged out for the sake of adding length. I also like the way they throw in little bits of Japanese (expressed in English characters) which adds character.