I don't see that big difference with respect to our real nature.
Most preyed upon animals have an already large field of view, and yet they fall prey ofto their hunters.
Ambush attack, mimicry, velocity, endurance and so on are all factors whichthat weigh in when it comes to deciding the outcome of a predator-prey encounter. Predators would improve in some other area if preysprey have an edge in detecting them.