As a quick asideFirst, sometimes it'sbiological features do not always because ofarise from some intrinsic benefit that things are one way or another. They can also be byproducts of other adaptations, or spandrelsspandrels.
That being said, one example of a possible benefit is specialization. For instance, birds will develop assyemtriesasymmetries in their visual system based on light inputs to their outward facing-facing eye (one eye faces the egg shelleggshell, the other is obscured within the egg). It was cause distinct assymetries Distinct asymmetries in the brain that allow the birdbirds to use one eyes and/oreye or brain region for finding and tracking prey (a very robust detail-oriented object identifier), and the other will be turned towards the sky, looking out for predators (and isn't as detail oriented-oriented).