I'm using a Dell 34" oled 1440p 165Hz monitor. Beautiful picture, black blacks, good contrast, but lately I've been running AH at 1080p hoping to improve my view of objects at medium to long distances. Not sure, but it does seem to help.
The best view for me personally of objects at medium to long distances, excluding VR, was with a 42" 1080p 60 Hz, TV. Of course the picture quality was no where near that of the oled, but I could spot dots in the distance pretty much before anyone else in the squad.
I agree with Wiley about higher refresh rates making for a better gaming experience.
Your 4060 should be able to handle AH in 1440p at high refresh rates. If all you play is AH then you might seriously consider something in 1080p with crazy fast refresh rates.
