That's just my age showing, I guess. For me, all 2.5D shooters are DOOMlikes. I was actually first thinking about calling it a Quake-like since IMHO that is much more well known for its multiplayer, but then I never got around to implement powerups and all the other stuff people might have expected.

DOOM was revolutionary because it switched from raycasting like Wolfenstein to a binary tree rendering system that allowed much more complex architecture.

If it's using raycasting, it's not DOOM-like...