The 175 GB number is for all of Black Ops Cold War's modes. For players with the beefiest of PCs who want to play Call of Duty: Black Ops Cold War with 4K textures, that'll swallow up 250 GB of storage space. Black Ops Cold War's storage footprint is on par with last year's game.
As reported by IGN, players with early access to the game's single-player campaign found that the total file size for Call of Duty at installation which also includes the Modern Warfare II campaign, Warzone, and Call of Duty HQ now comes in at 234.9GB on PlayStation 5.