No 1080p mode for performance means that you are forced to sacrifice locked 60fps (target 60fps will drop sometimes) for extra resolution that your screen can't even display, and 1440p is a monitor thing not a TV thing. They're excluding lots of the ps5 userbase with normal TV's.
There is some further spice to the story though, in that it's actually been possible to play God of War at checkerboard 4K 60fps since day one of the PlayStation 5's hardware launch.
Yeah it was patched for the PS5 to deliver 4K Checkerboard with 60Fps. That's perhaps why it looks higher resolution because its just staying at 4K resolution while the PS4 Pro version is trying to "Target" 4K Checkerboard so its not staying there all the time depending on how demanding the scene is.
God of War (2018) Updated for PS5. Performs best on PS5 Locked 60 FPS HDR Sony Exclusive. Dead War Updated for PS5. X-Morph: Defense
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is god of war 60fps on ps5