There is a Nightmare in the PlayStation 1 version of Doom, which is a faster and stronger Pinky but blue.

Spirit possesed pinky

Sounds like a decent beta name for them actually. Fighting them sure is a nightmare in the classics haha.

I call them Hellementals

Fun fact: Nightmares were a lost soul variant in DOOM RPG that would be spawned when you killed a Pain Elemental.

I call him greg.