FWIW one farm sitting client of mine had a predator-proof pen attached to her coop, but would periodically let them out in an electric netting yard when she was close by. Not often enough that the predators could catch on to the routine, but often enough that her chickens got out for some free ranging. You can still lose them that way, but it was a fair compromise.
One of the worst experiences I had farm sitting was when a raccoon got into a different client’s pen. The hens were safe in the coop and I got the raccoon out, but I was so worried he would come back during the day.