A secret from the production - The console versions have a slightly different FOV set up than on PC - yep, it "fish eyes" at a different point in screen space for some weird reason - I have no idea why. We had to correct this in post to actually make the shots line up or they never would.
The consoles have fatter looking aspect ratio, more horizontal.
Edit: Fixed! Problem is with EDID reporting 4096x2160 as the max res of the TV (it's 3840x2160), which some games see as the 'native' res and set their aspect ratio accordingly. You can either use the CRU utility to delete this res (see https://steamcommunity.com/sharedfiles/filedetails/?id=806615157), which may not work depending on your TV. In my case I couldn't get it to see the res, but as a user suggested in that thread a workaround was to just create a custom 16:9 res higher than 4096 in the Nvidia control panel, that worked.
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Actually this seems to be a problem with the 4A engine. Did you take this footage from a TV or monitor through HDMI? The PC version definitely has an elongated aspect ratio there, it's not really FOV.
Reason I surmise it might be an engine issue is because I just loaded up Last Light Redux and 2033 Redux on my 55" Visio 4K TV for the first time, and I immediately noticed the same vertically stretched aspect ratio in both. Circles are elongated ovals - not drastic, but noticeable. You can see it in your video especially when looking at the moon, it should be a circle yet it's definitely stretched. Changing resolution, despite the aspect ratio of that res does not fix this (only the aspect ratio of the menu UX changes).
Switching over to my 4k monitor which is hooked up to display port however, no problem - correct 16:9 aspect ratio. If I edit the user.cfg and set the game to windowed mode, then the aspect ratio is back to normal on my TV, but fullscreen stretches it. Something to do with HDMI + TV's, very odd.
Edit: See the attached pics. Top is on displayport at 4k, how the game should look. Below image is from 4K though HDMI to TV.
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