Classic Doom had noticiable horror elements, specially in psx-saturn ports and Doom 64. Obviously not survival horror games, but, well, games like Splatterhouse, Blood and Gabriel Knight weren't either and nobody would deny their important horror themes. When that Doom 3 E3 trailer was showed, everyone was hyped, nothing about "it wasn't Doom". The controversy at its release was because a sum of things and not just "being horror". Oh, btw, we have to remember Aliens and Evil Dead II were VERY important inspiration for the first Doom. It wasn't about being "the terror of the demons" and "rip & tear" like that comic most of people ignored until Brutal Doom mod and the internet meme.
We could say the same about modern Doom, specially Eternal, how Doom wasn't about being locked in arenas like Serious Sam and Painkiller with enemies spawning in waves most of the time or being a superhero among other things. I remember when everyone bashed CoD clones with memes like the level design comparison with the 1993 Doom first map. And where did it go? And, hey, I enjoyed modern Doom (2016 and Eternal at least, I haven't Dark Aged yet), I'm not a hater. I hope Dark Ages isn't too story heavy btw. It would be funny making Dark Ages more story-heavy after the complaints about the Doom 3's PDAs, the praising of Doom 2016 mocking story heavy FPS games.