In general, what the so called "chicken wire" does is form a barrier to keep chickens in or out of wherever it is you put them. Chicken wire is seen as flimsy in comparison to more sturdy stuff, like hardware cloth or one of the variations on the much heavier welded wire, and with good reason. Many have found chicken wire is not up to the task of keeping predators out. There are many predators who are vastly bigger, stronger and more determined than a chicken who can rip through chicken wire with ease. You may not think so, but they can. But if you don't have predators to worry about, chicken wire may serve your purpose and do so forever.
In your case, worst case scenario is you loose 3 birds and start over with HC or WW next time?
In your case, worst case scenario is you loose 3 birds and start over with HC or WW next time?