Hmm ok. Usually when someone does have a 4k tv their PS4 will automatically turn all types of HDR on without telling you. The fact you can take a screenshot of it tells me it's a game or system setting and not the tv/monitor itself.
In the BFV options>Video>Basic Settings menu, whats your motion blur set to? I currently use 35%
My ADS DOF effects is set to OFF
Aberration, grain, vignette, and distortion are turned off.
Try these in-game settings and see if it helps.
On my PS4 sound amd screen>video output settings I use 1080p and an automatic RGB range with HDR set to off (not automatic, this is important since automatic off is different than just turning it off completely **).
Try these as well, hopefully this fixes your problem