upscalling is ok because it doesn't take away information but AA simply does take away information and replace good pixel information such as a solider crouching behind a curved surface with abstract wrong edge information just to make that edge smooth to the eye and can hide the information from you that a solider is just popping out there by a fraction. Its super hardcore but in a game like battlefield this would effect you on a per match basis.
AA is really bad. I hope for example on the PS4 if your able to set your output resolution to 1600x900 rather than 1080p if that will effectively turn the AA off or stop you from seeing it as happens with a number of 360 games if you set the resolution to 1280x720 or some such native. I used a VGA cable to do this often with its expanded resolution support but if 720p is native then it should be easy to do (if they give you the option) with hdmi