From GameWatcher: “The first Quake from id Software is still one of the best FPSs around, and yet it’s the only game the veteran shooter developer didn’t directly return to. None of the subsequent Quake games, such as Quake Champions, ever returned to the gothic Lovecraftian style of the original – which is why it’s annoying to find out that a Quake 1 remake was considered.”
Source: N4G PC A Quake 1 remake was "thought about" at id Software, "years ago"