Depends on your motivation for having peachicks. If you just like seeing the mother take care of the babies (which she may or may not be good at) and seeing chick rearing the way nature intended, then by all means, leave the chicks with mom. On the other hand, if your goal is raising these chicks to be breeders as a future revenue source for your farm, you'd be best served keeping your investment as safe as possible in a cage in an environmentally regulated place.
Peachicks can and do get treated poorly by other peacocks, including mom. They are also vulnerable to predators, in virtually any outdoor pen. They can die from temperature extremes, and from bacteria, parasites, and fungus present in bugs and other stuff they will eat. We keep our chicks in cages indoors for the first couple of weeks, then in cages in a temp regulated glass - walled greenhouse for several weeks. Then, when they've toughened up a bit, the go to a chick only pen (with a heated area)for the winter, and are introduced to the adults in the spring.